To participate in this seminar, please register here: https://www.msri.org/seminars/25206

To participate in this seminar, please register here: https://www.msri.org/seminars/25206

Abstract:

A structure M is said to be indestructible on a subset of its underlying set if the substructure induced on this subset contains a copy of M.  Recently, W. Brian has shown that almost every Rado graph with underlying set the natural numbers is indestructible on any subset of positive upper density.  In this talk I will consider indestructibility, on all subsets of positive upper density, for arbitrary ultrahomogeneous relational structures on the naturals that are Martin-Löf random for some invariant measure.  This is preliminary work, joint with N. Ackerman and C. Freer.

Tea for members and participants of the Decidability, definability and computability in number theory virtual program.

To participate, please register here: https://www.msri.org/seminars/25206

To attend this seminar, please register here: https://www.msri.org/seminars/25205

Abstract:

Invariant random subgroups (IRS) are conjugacy invariant probability measures on the space of subgroups in a given group G. They can be regarded both as a generalization of normal subgroups as well as a generalization of lattices. As such, it is intriguing to extend results from the theories of normal subgroups and of lattices to the context of IRS. Another approach is to analyse and then use the space IRS(G) as a compact G-space in order to establish new results about lattices. In this lecture series we shall try to give a taste of both approaches.

Tea for members and participants of the Random and Arithmetic Structures in Topology program.

To participate, please register here: https://www.msri.org/seminars/25205

To participate in this seminar, please register here: https://www.msri.org/seminars/25206

To attend this seminar, you must register in advance, by clicking HERE.

Abstract:

Most of the theory of D-modules has been developed only in characteristic zero. This includes holonomic modules. Some candidates for holonomic modules in characteristic p>0 have been proposed using definitions specific to characteristic p>0. The first characteristic-free definition of holonomicity was given in 2010 by the speaker, but only for modules over polynomial rings. In the talk I am going to describe an extension of this definition to arbitrary non-singular varieties.

To participate in this seminar, please register here: https://www.msri.org/seminars/25206

Abstract:

We introduce an axiomatic setting where conjectures about “unlikely intersections” make sense, in the spirit of Zilber's trichotomy.  We will review several typical examples where such situations occur - tori, abelian varieties, Shimura varieties, more generally mixed Shimura varieties. In the talk the following week, Laura Capuano will treat in detail the case of abelian schemes and the relative Manin-Mumford problem.

To participate in this seminar, please register here: https://www.msri.org/seminars/25206

Tea for members and participants of the Decidability, definability and computability in number theory virtual program.

To participate, please register here: https://www.msri.org/seminars/25206

Tea for members and participants of the Random and Arithmetic Structures in Topology program.

To participate, please register here: https://www.msri.org/seminars/25205

To participate in this seminar, please register here: https://www.msri.org/seminars/25206

Abstract:

There is a long history of study of algebraic objects definable in classical mathematical structures.

As a prominent example, by results of Weil, Hrushovski, and van den Dries, it is known that the groups definable in an algebraically closed field K are precisely the algebraic groups over K, and the only infinite field definable in K is the field K itself. 

The talk will be a report on my recent work on dimension, definable groups, and definable fields in vector spaces over algebraically closed [real closed] fields equipped with a non-degenerate alternating bilinear form or a non-degenerate [positive-definite] symmetric bilinear form. The main result states that every definable group is (algebraic-by-abelian) by-algebraic [(semialgebraic-by-abelian)-by-semialgebraic], which, in particular, answers a question of Granger. It follows that every definable field is definable in the field of scalars, hence either finite or definably isomorphic to it [finite or algebraically closed or real closed].

If time permits, I will very briefly discuss some model theoretic phenomena in the considered structures.

To participate in this seminar, please register here: https://www.msri.org/seminars/25206

To participate in this seminar, please register here: https://www.msri.org/seminars/25205

To participate in this seminar, please register here: https://www.msri.org/seminars/25205

This is one of the research seminars for the RAS program, that distinguishes itself from the postdocs and program associates seminars in that speakers are chosen among Research Members, Research Professors with occasional outside speakers.

To participate in this seminar, please register here: https://www.msri.org/seminars/25206

Abstract:

Hilbert's Tenth Problem in its original form was to find an algorithm to decide, given a multivariate polynomial equation with integer coefficients, whether it has a solution over the integers. In 1970 Matijasevich, building on work by Davis, Putnam and Robinson, proved that no such algorithm exists, i.e. Hilbert's Tenth Problem is undecidable. In this talk we will consider generalizations of Hilbert's Tenth Problem and Mazur's conjectures for large subrings of number fields. We will show that Hilbert's Tenth Problem is undecidable for large complementary subrings of number fields and that the analogues of Mazur's conjectures do not hold in these rings. This is joint work with Graham Everest and Alexandra Shlapentokh.

To participate in this seminar, please register here: https://www.msri.org/seminars/25206

The PA seminar is a learning seminar for early career mathematicians (graduate student and postdocs).  Please only join the seminar if you are an early career mathematician.

To participate, please email Tommaso Cremaschi or James Farre.

To participate in this seminar, please register here: https://www.msri.org/seminars/25206

This mini course is an introduction to the theory, computation, and applications of Picard-Fuchs differential equations.  The main prerequisite is knowledge of basic complex algebraic geometry at the introductory graduate level.  We will develop a thorough understanding, from several different theoretical perspectives, of some of the key examples in the mathematics and physics literature.  This course should be of interest to geometers, model theorists, and physicists alike.

Valuation theory plays a major part in the interaction between number theory and logic. In this seminar, a variety of topics from valuation theory, and in particular connections to model theory, will be discussed. There will be a strong emphasis on results involving the definability of valuations.

To participate in this seminar, please register here: https://www.msri.org/seminars/25206

To participate in this seminar, please register here: https://www.msri.org/seminars/25206

To participate in this seminar, please register here: https://www.msri.org/seminars/25206

To participate in this seminar, please register here: https://www.msri.org/seminars/25206

To attend this seminar, please register here: https://www.msri.org/seminars/25205

To participate in this seminar, please register here: https://www.msri.org/seminars/25206

This mini course is an introduction to the theory, computation, and applications of Picard-Fuchs differential equations.  The main prerequisite is knowledge of basic complex algebraic geometry at the introductory graduate level.  We will develop a thorough understanding, from several different theoretical perspectives, of some of the key examples in the mathematics and physics literature.  This course should be of interest to geometers, model theorists, and physicists alike.

To attend this seminar, you must register in advance, by clicking HERE.

To participate in this seminar, please register here: https://www.msri.org/seminars/25206

To participate in this seminar, please register here: https://www.msri.org/seminars/25206

To participate in this seminar, please register here: https://www.msri.org/seminars/25206

To participate in this seminar, please register here: https://www.msri.org/seminars/25206

To participate in this seminar, please register here: https://www.msri.org/seminars/25205

To participate in this seminar, please register here: https://www.msri.org/seminars/25205

This is one of the research seminars for the RAS program, that distinguishes itself from the postdocs and program associates seminars in that speakers are chosen among Research Members, Research Professors with occasional outside speakers.

To participate in this seminar, please register here: https://www.msri.org/seminars/25206

The PA seminar is a learning seminar for early career mathematicians (graduate student and postdocs).  Please only join the seminar if you are an early career mathematician.

To participate, please email Tommaso Cremaschi or James Farre.

To participate in this seminar, please register here: https://www.msri.org/seminars/25206

This mini course is an introduction to the theory, computation, and applications of Picard-Fuchs differential equations.  The main prerequisite is knowledge of basic complex algebraic geometry at the introductory graduate level.  We will develop a thorough understanding, from several different theoretical perspectives, of some of the key examples in the mathematics and physics literature.  This course should be of interest to geometers, model theorists, and physicists alike.

Valuation theory plays a major part in the interaction between number theory and logic. In this seminar, a variety of topics from valuation theory, and in particular connections to model theory, will be discussed. There will be a strong emphasis on results involving the definability of valuations.

To participate in this seminar, please register here: https://www.msri.org/seminars/25206

To participate in this seminar, please register here: https://www.msri.org/seminars/25206

To participate in this seminar, please register here: https://www.msri.org/seminars/25206

To participate in this seminar, please register here: https://www.msri.org/seminars/25206

To attend this seminar, please register here: https://www.msri.org/seminars/25205

To participate in this seminar, please register here: https://www.msri.org/seminars/25206

This mini course is an introduction to the theory, computation, and applications of Picard-Fuchs differential equations.  The main prerequisite is knowledge of basic complex algebraic geometry at the introductory graduate level.  We will develop a thorough understanding, from several different theoretical perspectives, of some of the key examples in the mathematics and physics literature.  This course should be of interest to geometers, model theorists, and physicists alike.

To attend this seminar, you must register in advance, by clicking HERE.

To participate in this seminar, please register here: https://www.msri.org/seminars/25206

Abstract:

We discuss how to recover an algebraic curve over a finite field from L-functions associated with it. We look at the problem from a number of different angles, including the input coming from model theory, and pose some open questions. Joint work with J. Booher.

To participate in this seminar, please register here: https://www.msri.org/seminars/25206

To attend this seminar, please register here: https://www.msri.org/seminars/25205

To participate in this seminar, please register here: https://www.msri.org/seminars/25206

To participate in this seminar, please register here: https://www.msri.org/seminars/25206

To participate in this seminar, please register here: https://www.msri.org/seminars/25205

To participate in this seminar, please register here: https://www.msri.org/seminars/25205

This is one of the research seminars for the RAS program, that distinguishes itself from the postdocs and program associates seminars in that speakers are chosen among Research Members, Research Professors with occasional outside speakers.

To participate in this seminar, please register here: https://www.msri.org/seminars/25206

The PA seminar is a learning seminar for early career mathematicians (graduate student and postdocs).  Please only join the seminar if you are an early career mathematician.

To participate, please email Tommaso Cremaschi or James Farre.

To participate in this seminar, please register here: https://www.msri.org/seminars/25206

This mini course is an introduction to the theory, computation, and applications of Picard-Fuchs differential equations.  The main prerequisite is knowledge of basic complex algebraic geometry at the introductory graduate level.  We will develop a thorough understanding, from several different theoretical perspectives, of some of the key examples in the mathematics and physics literature.  This course should be of interest to geometers, model theorists, and physicists alike.

Valuation theory plays a major part in the interaction between number theory and logic. In this seminar, a variety of topics from valuation theory, and in particular connections to model theory, will be discussed. There will be a strong emphasis on results involving the definability of valuations.

To participate in this seminar, please register here: https://www.msri.org/seminars/25206

To participate in this seminar, please register here: https://www.msri.org/seminars/25206

To participate in this seminar, please register here: https://www.msri.org/seminars/25206

To participate in this seminar, please register here: https://www.msri.org/seminars/25206

To attend this seminar, please register here: https://www.msri.org/seminars/25205

To participate in this seminar, please register here: https://www.msri.org/seminars/25206

This mini course is an introduction to the theory, computation, and applications of Picard-Fuchs differential equations.  The main prerequisite is knowledge of basic complex algebraic geometry at the introductory graduate level.  We will develop a thorough understanding, from several different theoretical perspectives, of some of the key examples in the mathematics and physics literature.  This course should be of interest to geometers, model theorists, and physicists alike.

To attend this seminar, you must register in advance, by clicking HERE.

To participate in this seminar, please register here: https://www.msri.org/seminars/25206

To participate in this seminar, please register here: https://www.msri.org/seminars/25206

To participate in this seminar, please register here: https://www.msri.org/seminars/25206

To participate in this seminar, please register here: https://www.msri.org/seminars/25205

To participate in this seminar, please register here: https://www.msri.org/seminars/25205

This is one of the research seminars for the RAS program, that distinguishes itself from the postdocs and program associates seminars in that speakers are chosen among Research Members, Research Professors with occasional outside speakers.

To participate in this seminar, please register here: https://www.msri.org/seminars/25206

The PA seminar is a learning seminar for early career mathematicians (graduate student and postdocs).  Please only join the seminar if you are an early career mathematician.

To participate, please email Tommaso Cremaschi or James Farre.

To participate in this seminar, please register here: https://www.msri.org/seminars/25206

This mini course is an introduction to the theory, computation, and applications of Picard-Fuchs differential equations.  The main prerequisite is knowledge of basic complex algebraic geometry at the introductory graduate level.  We will develop a thorough understanding, from several different theoretical perspectives, of some of the key examples in the mathematics and physics literature.  This course should be of interest to geometers, model theorists, and physicists alike.

Valuation theory plays a major part in the interaction between number theory and logic. In this seminar, a variety of topics from valuation theory, and in particular connections to model theory, will be discussed. There will be a strong emphasis on results involving the definability of valuations.

To participate in this seminar, please register here: https://www.msri.org/seminars/25206

To participate in this seminar, please register here: https://www.msri.org/seminars/25206

To participate in this seminar, please register here: https://www.msri.org/seminars/25206

To participate in this seminar, please register here: https://www.msri.org/seminars/25206

To attend this seminar, please register here: https://www.msri.org/seminars/25205

To participate in this seminar, please register here: https://www.msri.org/seminars/25206

This mini course is an introduction to the theory, computation, and applications of Picard-Fuchs differential equations.  The main prerequisite is knowledge of basic complex algebraic geometry at the introductory graduate level.  We will develop a thorough understanding, from several different theoretical perspectives, of some of the key examples in the mathematics and physics literature.  This course should be of interest to geometers, model theorists, and physicists alike.

To attend this seminar, you must register in advance, by clicking HERE.

To participate in this seminar, please register here: https://www.msri.org/seminars/25206

To attend this seminar, please register here: https://www.msri.org/seminars/25205

To participate in this seminar, please register here: https://www.msri.org/seminars/25206

To participate in this seminar, please register here: https://www.msri.org/seminars/25206

To participate in this seminar, please register here: https://www.msri.org/seminars/25205

To participate in this seminar, please register here: https://www.msri.org/seminars/25205

This is one of the research seminars for the RAS program, that distinguishes itself from the postdocs and program associates seminars in that speakers are chosen among Research Members, Research Professors with occasional outside speakers.

To participate in this seminar, please register here: https://www.msri.org/seminars/25206

The PA seminar is a learning seminar for early career mathematicians (graduate student and postdocs).  Please only join the seminar if you are an early career mathematician.

To participate, please email Tommaso Cremaschi or James Farre.

Valuation theory plays a major part in the interaction between number theory and logic. In this seminar, a variety of topics from valuation theory, and in particular connections to model theory, will be discussed. There will be a strong emphasis on results involving the definability of valuations.

To participate in this seminar, please register here: https://www.msri.org/seminars/25206

To participate in this seminar, please register here: https://www.msri.org/seminars/25206

To participate in this seminar, please register here: https://www.msri.org/seminars/25206

To participate in this seminar, please register here: https://www.msri.org/seminars/25206

To participate in this seminar, please register here: https://www.msri.org/seminars/25205

To participate in this seminar, please register here: https://www.msri.org/seminars/25205

This is one of the research seminars for the RAS program, that distinguishes itself from the postdocs and program associates seminars in that speakers are chosen among Research Members, Research Professors with occasional outside speakers.

To participate in this seminar, please register here: https://www.msri.org/seminars/25206

The PA seminar is a learning seminar for early career mathematicians (graduate student and postdocs).  Please only join the seminar if you are an early career mathematician.

To participate, please email Tommaso Cremaschi or James Farre.

To participate in this seminar, please register here: https://www.msri.org/seminars/25206

This mini course is an introduction to the theory, computation, and applications of Picard-Fuchs differential equations.  The main prerequisite is knowledge of basic complex algebraic geometry at the introductory graduate level.  We will develop a thorough understanding, from several different theoretical perspectives, of some of the key examples in the mathematics and physics literature.  This course should be of interest to geometers, model theorists, and physicists alike.

Valuation theory plays a major part in the interaction between number theory and logic. In this seminar, a variety of topics from valuation theory, and in particular connections to model theory, will be discussed. There will be a strong emphasis on results involving the definability of valuations.

To participate in this seminar, please register here: https://www.msri.org/seminars/25206

To participate in this seminar, please register here: https://www.msri.org/seminars/25206

To participate in this seminar, please register here: https://www.msri.org/seminars/25206

To participate in this seminar, please register here: https://www.msri.org/seminars/25206

To attend this seminar, please register here: https://www.msri.org/seminars/25205

To participate in this seminar, please register here: https://www.msri.org/seminars/25206

This mini course is an introduction to the theory, computation, and applications of Picard-Fuchs differential equations.  The main prerequisite is knowledge of basic complex algebraic geometry at the introductory graduate level.  We will develop a thorough understanding, from several different theoretical perspectives, of some of the key examples in the mathematics and physics literature.  This course should be of interest to geometers, model theorists, and physicists alike.

To attend this seminar, you must register in advance, by clicking HERE.

To participate in this seminar, please register here: https://www.msri.org/seminars/25206

To attend this seminar, please register here: https://www.msri.org/seminars/25205

To participate in this seminar, please register here: https://www.msri.org/seminars/25206

To participate in this seminar, please register here: https://www.msri.org/seminars/25206

To participate in this seminar, please register here: https://www.msri.org/seminars/25205

To participate in this seminar, please register here: https://www.msri.org/seminars/25205

This is one of the research seminars for the RAS program, that distinguishes itself from the postdocs and program associates seminars in that speakers are chosen among Research Members, Research Professors with occasional outside speakers.

To participate in this seminar, please register here: https://www.msri.org/seminars/25206

The PA seminar is a learning seminar for early career mathematicians (graduate student and postdocs).  Please only join the seminar if you are an early career mathematician.

To participate, please email Tommaso Cremaschi or James Farre.

Valuation theory plays a major part in the interaction between number theory and logic. In this seminar, a variety of topics from valuation theory, and in particular connections to model theory, will be discussed. There will be a strong emphasis on results involving the definability of valuations.

To participate in this seminar, please register here: https://www.msri.org/seminars/25206

To participate in this seminar, please register here: https://www.msri.org/seminars/25206

To participate in this seminar, please register here: https://www.msri.org/seminars/25206

To participate in this seminar, please register here: https://www.msri.org/seminars/25206

To attend this seminar, please register here: https://www.msri.org/seminars/25205

To participate in this seminar, please register here: https://www.msri.org/seminars/25206

To attend this seminar, please register here: https://www.msri.org/seminars/25205

To participate in this seminar, please register here: https://www.msri.org/seminars/25206

To participate in this seminar, please register here: https://www.msri.org/seminars/25206

To participate in this seminar, please register here: https://www.msri.org/seminars/25205

To participate in this seminar, please register here: https://www.msri.org/seminars/25205

This is one of the research seminars for the RAS program, that distinguishes itself from the postdocs and program associates seminars in that speakers are chosen among Research Members, Research Professors with occasional outside speakers.

To participate in this seminar, please register here: https://www.msri.org/seminars/25206

The PA seminar is a learning seminar for early career mathematicians (graduate student and postdocs).  Please only join the seminar if you are an early career mathematician.

To participate, please email Tommaso Cremaschi or James Farre.

Valuation theory plays a major part in the interaction between number theory and logic. In this seminar, a variety of topics from valuation theory, and in particular connections to model theory, will be discussed. There will be a strong emphasis on results involving the definability of valuations.

To participate in this seminar, please register here: https://www.msri.org/seminars/25206

To participate in this seminar, please register here: https://www.msri.org/seminars/25206

To participate in this seminar, please register here: https://www.msri.org/seminars/25206

To attend this seminar, please register here: https://www.msri.org/seminars/25205

To participate in this seminar, please register here: https://www.msri.org/seminars/25206