
MT Research Seminar: Tameness and coincidence of dimensions in expansions of the real field
Location: MSRI: Simons Auditorium Speakers: Chris Miller (Ohio State University)Philipp Hieronymi and I have recently established that if E is a boolean combination of open subsets of real euclidean nspace, and the expansion of the real field by E does not define the set of all integers, then the Lebesgue covering dimension of E is equal to its Assouad dimension (hence also to its Hausdorff and packing dimensions, and also to its upper Minkowski dimension if E is bounded). The proof is too technical to attempt in a seminar talk, but the result is surprisingly easy to prove for the case n=1. Indeed, I will prove the
(possibly) stronger result that all reasonable (in a way that I will make precise) Lipschitz invariant metric dimensions then coincide on E.
Updated on Apr 11, 2014 01:54 PM PDT 
Commutative Algebra and Algebraic Geometry
Location: UC Berkeley, 939 Evans Hall Speakers: I. Martin Isaacs, François Loeser (Université de Paris VI (Pierre et Marie Curie))3:45 I. Martin Isaacs: Orbit sizes and an analog of the Alperin weight conjecture.
Let G be a finite group acting on a finite vector space V. Then G also acts on the dual space of V, and by general principles, the numbers of orbits in these two actions are equal. Although the sizes of the orbits in these actions generally do not agree, there are, nevertheless, some subtle relationships among these orbit sizes. The proof of the relevant theorem is not hard, but it involves a formula that is formally identical to the still unproved Alperin weight conjecture, which will be explained.
5:00 Francois Loeser: Monodromy and the Lefschetz fixed point formulaIn 2002, in joint work with Jan Denef, we gave a formula expressing the Lefschetz numbers of iterates of the monodromy in terms of arc spaces using direct computation on a resolution. In this talk we shall present a different proof, relying on a Lefschetz fixed point formula and nonarchimedean geometry. This is joint work with Ehud Hrushovski.Created on Apr 14, 2014 11:22 AM PDT 
Finite Structures Seminar
Location: MSRI: Baker Board Room Speakers: Vincent Guingona (University of Notre Dame)Created on Apr 09, 2014 03:24 PM PDT 
Berkeley Model Theory Seminar: Pseudo Real Closed fields and NTP2
Location: MSRI: Simons Auditorium Speakers: Samaria MontenegroGuzman (Université de Paris VII (Denis Diderot))The notion of PAC fields has been generalized by Basarab and by Prestel to ordered fields. Prestel defines a field M to be Pseudo Real Closed field (PRC) if M is existentially closed (in the language of rings) in every regular extension L to which all orderings of M extend. Equivalently, if every absolutely irreducible variety defined over M that has a rational point in every real closure of M, has an Mrational point.
In the first part of the talk I will present a short summary of the required preliminaries on pseudo real closed fields.The main theorem is a positive answer to the conjecture by A. Chernikov, I. Kaplan and P. Simon: If M is a PRC field, then Th(M) is NTP2 if and only if M is bounded.
In the second part of the talk I will give a sketch of the proof.
Updated on Apr 11, 2014 02:01 PM PDT 
Introduction to the middle Ktheory of group rings and their relevance in topology, Part One: Introductory Talk
Location: UC Berkeley, 740 Evans Hall Speakers: Wolfgang LueckWe give a basic introduction to the projective class group of a group ring and the Whitehead group of a group and discuss applications to topology such as Wall's finiteness obstruction, the sCobordism Theorem and topological rigidity.
Created on Apr 14, 2014 11:17 AM PDT 
Berkeley Model Theory Seminar: Higher amalgamation and polygroupoids.
Location: MSRI: Simons Auditorium Speakers: John GoodrickIn simple theory, namalgamation is the property that any coherent, independent system of types indexed by proper subsets of {1, ..., n} has a consistent extension. For stable theories, there is a threeway connection (first discovered by Hrushovski) between 4amalgamation of types, definable groupoids, and the splitting of certain finite covers.
The present talk reports on joint work with Byunghan Kim and Alexei Kolesnikov which generalizes the equivalence of 4amalgamation and eliminability of definable groupoids: in a stable theory, if n is minimal such that namalgamation fails, then in a mild expansion (adding a predicate for a Morley sequence) the theory interprets a homogeneous, locally finite structure which we call an (n2)ary polygroupoid that witnesses the failure of amalgamation. A 2ary polygroupoid is an ordinary groupoid, and a kary polygroupoid has a kary "composition" operation which satisfies a generalized associativity law.
Updated on Apr 11, 2014 02:06 PM PDT 
Algebraic K and Ltheory of groups rings and their applications to topology and geometry, Part II: Main Talk
Location: UC Berkeley, 740 Evans Hall Speakers: Wolfgang LueckWe give an introduction to the K and Ltheoretic FarrellJones Conjecture and discuss its status. e.g, recently it has been proved for all lattices in almost connected Lie groups. We give a panorama of its large variety of applications, for instance to the Novikov Conjecvture about the homotopy invariance of higher signatures, the Borel Conjecture about the
topological rigidity of aspherical manifolds and to hyperbolic groups with spheres as boundary. Finally we dicsuss some connections to equivariant homotopy and homology for proper actions of infinite groups.Created on Apr 14, 2014 11:19 AM PDT

AT Research Seminar PreTalk: Module structures on Goodwillie derivatives
Location: MSRI: Simons Auditorium Speakers: Michael Ching (Amherst College)Updated on Apr 14, 2014 10:50 AM PDT 
AT Research Seminar: The classification of Taylor towers for functors from based spaces to spectra
Location: MSRI: Simons Auditorium Speakers: Michael Ching (Amherst College)The Goodwillie derivatives of a functor from based spaces to spectra possess additional structure that allows the Taylor tower of the functor to be reconstructed. I will describe this structure as a 'module' over the 'prooperad' formed by the Koszul duals of the little disc operads. For certain functors this structure arises from an actual module over the little Ldiscs operad for some L. In particular, this is the case for functors that are left Kan extensions from a category of 'pointed framed Ldimensional manifolds' (which are examples of the zeropointed manifolds of Ayala and Francis). As an application I will describe where Waldhausen's algebraic Ktheory of spaces fits into this picture. This is joint work with Greg Arone (and, additionally, with Andrew Blumberg for the application to Ktheory).
Updated on Apr 14, 2014 11:20 AM PDT 
Unlikely intersections in semiabelian schemes.
Location: 891 Evans Hall Speakers: Daniel Bertrand (Universite Paris VI)Given a "nonspecial" section of a semiabelian scheme over a curve, the relative ManinMumford conjecture (RMM) asserts that its image W meets only finitely many torsion curves. I will explain how a relative version of the points constructed (in a Kummer theoretical setting) by the organizer of this seminar provide ``very special" examples of infinite intersection. However, the corresponding curves W recover a "normally special" status, when viewed in the setting of Pink's conjecture on mixed Shimura varieties. Furthermore, these sections form the only counterexample to the standard version of RMM for semiabelian surfaces. These are joint results with B. Edixhoven, and with D. Masser, A. Pillay and U. Zannier.
Created on Apr 11, 2014 02:11 PM PDT 
Alegbraic Topology Open Problems / Work in Progress Seminar
Location: MSRI: Simons AuditoriumCreated on Jan 30, 2014 08:24 AM PST 
MSRI/Evans Lecture: A journey through motivic integration
Location: 60 Evans Hall Speakers: François Loeser (Université de Paris VI (Pierre et Marie Curie))Motivic integration was invented by Kontsevich about 20 years ago for proving that Hodge numbers of CalabiYau are birational invariants and has developed at a fast pace since. I will start by presenting informally a device for defining and computing motivic integrals due to Cluckers and myself. I will then focus on some recent applications. In particular I plan to explain how motivic integration provides tools for proving uniformity results for $p$adic integrals occuring in the Langlands program and how one may use "motivic harmonic analysis" to study certain generating series counting curves in enumerative algebraic geometry.
Updated on Apr 11, 2014 03:43 PM PDT 
Conformal Field Theory
Location: MSRI: Baker Board RoomCreated on Feb 19, 2014 08:18 AM PST 
Model Theory DayLong Seminar
Location: MSRI: Simons AuditoriumCreated on Mar 04, 2014 02:57 PM PST 
Eisenbud Seminar: Algebraic Geometry and Commutative Algebra
Location: Evans 939Created on Feb 10, 2014 08:42 AM PST 
AT Research Seminar PreTalk
Location: MSRI: Simons AuditoriumUpdated on Mar 06, 2014 02:34 PM PST 
AT Research Seminar
Location: MSRI: Simons AuditoriumCreated on Feb 14, 2014 08:55 AM PST 
AT Postdoc Seminar
Location: MSRI: Baker Board Room Speakers: Hiro Tanaka (Harvard University)Created on Feb 07, 2014 09:36 AM PST 
MT Postdoc Seminar
Location: MSRI: Baker Board RoomUpdated on Apr 15, 2014 02:45 PM PDT 
Alegbraic Topology Open Problems / Work in Progress Seminar
Location: MSRI: Simons AuditoriumCreated on Jan 30, 2014 08:23 AM PST 
MSRI/Evans Lecture: The (un)reasonable effectiveness of model theory in mathematics
Location: 60 Evans Hall Speakers: Carol Wood (Wesleyan University)The talk will be built around examples of how model theory informs our understanding in areas of mathematics such as algebra, number theory, algebraic geometry and analysis. The model theory behind these applications includes concepts such as compactness, definability, stability and ominimality. However, we assume no special expertise in model theory, but rather aim to illustrate the kinds of mathematical questions for which a model theoretical perspective has proven to be useful.
Updated on Apr 15, 2014 11:58 AM PDT 
Conformal Field Theory
Location: MSRI: Baker Board RoomCreated on Feb 19, 2014 08:18 AM PST 
Model Theory, Arithmetic Geometry and Number Theory Seminar
Location: MSRI: Simons AuditoriumCreated on Feb 04, 2014 09:06 AM PST 
Model Theory, Arithmetic Geometry and Number Theory Seminar
Location: MSRI: Simons AuditoriumUpdated on Mar 24, 2014 11:20 AM PDT 
Eisenbud Seminar: Algebraic Geometry and Commutative Algebra
Location: Evans 939Created on Feb 10, 2014 08:42 AM PST 
AT Research Seminar PreTalk
Location: MSRI: Simons AuditoriumUpdated on Mar 06, 2014 02:41 PM PST 
AT Research Seminar
Location: MSRI: Simons AuditoriumCreated on Feb 14, 2014 08:56 AM PST 
MT Postdoc Seminar
Location: MSRI: Simons AuditoriumCreated on Feb 06, 2014 09:23 AM PST 
AT Postdoc Seminar
Location: MSRI: Simons Auditorium Speakers: Vesna Stojanoska (Massachusetts Institute of Technology)Created on Feb 07, 2014 09:36 AM PST 
Alegbraic Topology Open Problems / Work in Progress Seminar
Location: MSRI: Simons AuditoriumCreated on Jan 30, 2014 08:23 AM PST 
Conformal Field Theory
Location: MSRI: Baker Board RoomCreated on Feb 19, 2014 08:18 AM PST 
Model Theory, Arithmetic Geometry and Number Theory Seminar
Location: MSRI: Simons AuditoriumCreated on Feb 04, 2014 09:06 AM PST 
Model Theory, Arithmetic Geometry and Number Theory Seminar
Location: MSRI: Simons AuditoriumUpdated on Mar 24, 2014 11:23 AM PDT 
Eisenbud Seminar: Algebraic Geometry and Commutative Algebra
Location: Evans 939Created on Feb 10, 2014 08:43 AM PST 
AT Research Seminar PreTalk
Location: MSRI: Simons AuditoriumUpdated on Mar 06, 2014 02:44 PM PST 
AT Research Seminar
Location: MSRI: Simons AuditoriumCreated on Feb 14, 2014 08:57 AM PST 
MT Postdoc Seminar
Location: MSRI: Simons AuditoriumCreated on Feb 06, 2014 09:23 AM PST 
AT Postdoc Seminar
Location: MSRI: Simons Auditorium Speakers: Joseph Hirsh (Massachusetts Institute of Technology)Created on Feb 07, 2014 09:37 AM PST 
AT Seminar
Location: MSRI: Simons Auditorium Speakers: Alexei Kitaev (Kavli Institute for Theoretical Physics)Created on Apr 14, 2014 09:17 AM PDT 
Alegbraic Topology Open Problems / Work in Progress Seminar
Location: MSRI: Baker Board RoomCreated on Jan 30, 2014 08:22 AM PST 
Conformal Field Theory
Location: MSRI: Baker Board RoomCreated on Feb 19, 2014 08:23 AM PST 
Model Theory, Arithmetic Geometry and Number Theory Seminar
Location: MSRI: Baker Board RoomCreated on Feb 04, 2014 09:05 AM PST 
Model Theory, Arithmetic Geometry and Number Theory Seminar
Location: MSRI: Baker Board RoomUpdated on Mar 24, 2014 11:31 AM PDT 
Eisenbud Seminar: Algebraic Geometry and Commutative Algebra
Location: Evans 939Created on Feb 10, 2014 08:43 AM PST 
AT Research Seminar PreTalk
Location: MSRI: Baker Board RoomUpdated on Mar 11, 2014 03:18 PM PDT 
AT Research Seminar
Location: MSRI: Baker Board RoomCreated on Feb 14, 2014 08:57 AM PST 
Alegbraic Topology Open Problems / Work in Progress Seminar
Location: MSRI: Simons AuditoriumCreated on Jan 30, 2014 08:20 AM PST 
Conformal Field Theory
Location: MSRI: Baker Board RoomCreated on Feb 19, 2014 08:24 AM PST 
Model Theory, Arithmetic Geometry and Number Theory Seminar
Location: MSRI: Simons AuditoriumCreated on Feb 04, 2014 08:54 AM PST 
Model Theory, Arithmetic Geometry and Number Theory Seminar
Location: MSRI: Simons AuditoriumUpdated on Mar 24, 2014 11:32 AM PDT 
Eisenbud Seminar: Algebraic Geometry and Commutative Algebra
Location: Evans 939Created on Feb 10, 2014 08:44 AM PST 
AT Research Seminar PreTalk
Location: MSRI: Simons AuditoriumUpdated on Mar 06, 2014 02:51 PM PST 
AT Research Seminar
Location: MSRI: Simons AuditoriumCreated on Feb 14, 2014 08:58 AM PST
Past Seminars

Seminar MT Research Seminar: Torsion free groups definable in ominimal structures.
Updated on Apr 11, 2014 01:38 PM PDT 
Seminar Conformal Field Theory
Created on Feb 19, 2014 08:16 AM PST 
Seminar Alegbraic Topology Open Problems / Work in Progress Seminar
Created on Jan 30, 2014 08:24 AM PST 
Seminar UC Berkeley Model Theory Seminar: Locally definable groups as covers of definable groups.
Created on Apr 04, 2014 10:01 AM PDT 
Seminar MT Research Seminar: The Finite Submodel Property and Definability in Classes of Finite Structures.
Updated on Apr 04, 2014 12:57 PM PDT 
Seminar MT Research Seminar: On the fundamental complexity of simple theories
Updated on Apr 04, 2014 09:47 AM PDT 
Seminar MSRI/Evans Lecture: Sullivan's conjecture and applications to arithmetic
Updated on Apr 01, 2014 03:43 PM PDT 
Seminar Conformal Field Theory
Created on Feb 19, 2014 08:15 AM PST 
Seminar Problem Sessions in Model Theory
Created on Mar 27, 2014 11:58 AM PDT 
Seminar AT Postdoc Seminar: Galois equivariance and stable motivic homotopy theory
Updated on Mar 28, 2014 01:16 PM PDT 
Seminar MT Postdoc Seminar
Created on Feb 06, 2014 09:21 AM PST 
Seminar AT Research Seminar: Compactified string topology
Updated on Mar 28, 2014 12:07 PM PDT 
Seminar AT Research Seminar PreTalk: Introduction to string topology and to combinatorial models for the moduli space of Riemann surfaces
Updated on Mar 28, 2014 11:41 AM PDT 
Seminar UC Berkeley Topology Seminar: On a nilpotence conjecture of J.P. May
Created on Mar 28, 2014 11:25 AM PDT 
Seminar UC Berkeley Topology Seminar Intro talk: Prerequisites on ring spectra and nilpotence
Updated on Mar 28, 2014 10:37 AM PDT 
Seminar MSRI/Evans Lecture: Bounding the density of rational points on trascendental hypersurfaces via model theory
Updated on Mar 28, 2014 09:53 AM PDT 
Seminar MT Research Seminar: Towards a Z/ell analogue of Bogomolov's birational anabelian geometry.
Updated on Mar 28, 2014 09:40 AM PDT 
Seminar MT Research Seminar: Deformation of tame sets and additive invariants.
Updated on Mar 28, 2014 09:18 AM PDT 
Seminar Conformal Field Theory
Created on Feb 19, 2014 08:14 AM PST 
Seminar AT Postdoc Seminar: Uses of commutative rings in homotopy theory
Updated on Mar 28, 2014 10:11 AM PDT 
Seminar MT Research Seminar: On VCminimality and variants
Created on Mar 21, 2014 10:23 AM PDT 
Seminar MT Basics
Created on Mar 21, 2014 02:26 PM PDT 
Seminar Eisenbud Seminar: Algebraic Geometry and Commutative Algebra
Created on Feb 10, 2014 08:37 AM PST 
Seminar MT Research Seminar: Weight functions on Berkovich spaces and poles of maximal order of motivic zeta functions.
Updated on Mar 21, 2014 10:07 AM PDT 
Seminar MT Research Seminar: Newtonian fields
Updated on Mar 21, 2014 09:56 AM PDT 
Seminar Conformal Field Theory
Created on Feb 19, 2014 08:14 AM PST 
Seminar AT Open Problems/Work in Progress Seminar: A twoheaded monster in algebra and topology
Updated on Mar 21, 2014 10:58 AM PDT 
Seminar MT Postdoc Seminar: Strong minimality of the $j$function
Updated on Mar 21, 2014 11:13 AM PDT 
Seminar MT Postdoc Seminar: Connections between Ramsey Theory and Model Theory.
Updated on Mar 21, 2014 11:24 AM PDT 
Seminar AT Postdoc Seminar: Why do algebraic topologists care about categories?
Updated on Mar 14, 2014 10:27 AM PDT