Current Seminars
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COMA/NAG Graduate Student Seminar: "Differents for determinantal rings"
Location: SLMath: Eisenbud Auditorium, Online/Virtual Speakers: Sandra Sandoval Gomez (University of Notre Dame)The Kahler, Noether and Dedekind differents are ideals that arise in the study of ramification loci. In this talk we compute these ideals explicitly for determinantal rings in the case of submaximal minors of square generic matrices using DG-algebra structures and formulas founded by Polini and Ulrich.
All faculty are welcome!
Updated on Apr 18, 2024 02:22 PM PDT -
Hello Lean Seminar
Location: SLMath: Eisenbud Auditorium, Online/Virtual Speakers: Matthew Ballard (University of South Carolina)Do you want to start using Lean but feel lost at how to start? The goal of this session is to
1) equip you with a working version of Lean and mathlib (versions 4) on your machine,
2) introduce you to the avenues of assistance so you can learn more independently, and
3) impart a basic understanding of the pieces that go into developing in Lean
All interested parties are welcome and strongly encouraged to bring their laptops (even if they run Windows :).Updated on Apr 25, 2024 09:30 AM PDT -
COMA Colloquium: "Hilbert-Kunz multiplicity of powers of an ideal"
Location: SLMath: Eisenbud Auditorium, Online/Virtual Speakers: Jugal Kishore Verma (Indian Institute of Technology)Ilya Smirnov has proposed a precise relationship between the Hilbert-Kunz multiplicity of powers of an ideal and the Hilbert coefficients of its Frobenius powers. We shall discuss the known results about this question for ideals in pseudo-rational local rings, the maximal ideal of the face ring of a simplicial complex, and certain ideals in hypersurface rings. We shall also point out a possible relation between the Hilbert-Kunz multiplicity of power products of ideals and mixed multiplicities of Frobenius powers of ideals.
Updated on Apr 17, 2024 03:05 PM PDT -
Office Hours: Hello Lean
Location: SLMath: Baker Board Room Speakers: Matthew Ballard (University of South Carolina)Do you want to start using Lean but feel lost at how to start? The goal of this session is to
1) equip you with a working version of Lean and mathlib (versions 4) on your machine,
2) introduce you to the avenues of assistance so you can learn more independently, and
3) impart a basic understanding of the pieces that go into developing in Lean
All interested parties are welcome and strongly encouraged to bring their laptops (even if they run Windows :).Updated on Apr 24, 2024 09:16 AM PDT
Upcoming Seminars
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COMA Special Topic: "Module schemes in invariant theory"
Location: SLMath: Eisenbud Auditorium, Online/Virtual Speakers: Holger Brenner (Universität Osnabrück)Let G be a finite group acting linearly on the polynomial ring with invariant ring R. We assign, to a linear representation of G, a corresponding quotient scheme over Spec R, and we show how to reconstruct the action from the quotient scheme. This works in particular in the case of a reflection group, where Spec R itself is an affine space, in contrast to the Auslander correspondence, where one has to assume that the basic action is small, i.e. contains no pseudo reflection. These quotient schemes exhibit rich geometric features which mirror properties of the representation. In order to understand the image of this construction, we encounter module schemes (a forgotten notion of Grothendieck), module schemes up to modification and fiberflat bundles.
Updated on Apr 25, 2024 01:42 PM PDT -
COMA Fellowship of the Rings Talk
Location: SLMath: Baker Board Room Speakers: Claudia Miller (Syracuse University)Updated on Mar 06, 2024 10:48 AM PST -
NAG Colloquium: "Moduli of A-infinity algebras and NC geometry"
Location: SLMath: Eisenbud Auditorium, Online/Virtual Speakers: Alexander Polishchuk (University of Oregon)I will discuss certain moduli spaces of A-infinity structures arising naturally in the study of derived categories of coherent sheaves on algebraic curves. One example is related to higher genus curves. Another example arises from genus 1 curves but has interesting noncommutative deformations.
Updated on Apr 25, 2024 10:34 AM PDT -
COMA/NAG Joint Graduate Student Seminar
Location: SLMath: Eisenbud Auditorium, Online/VirtualUpdated on Feb 20, 2024 12:43 PM PST -
COMA Working Group: Set Theoretic Complete Intersections
Location: SLMath: Baker Board RoomUpdated on Mar 06, 2024 10:33 AM PST -
NAG Donaldson-Thomas Theory Seminar
Location: SLMath: Eisenbud Auditorium, Online/VirtualUpdated on Mar 21, 2024 10:44 AM PDT -
Commutative Algebra + Algebraic Geometry Seminar: "Splitting of vector bundles on toric varieties" & "Finding special line bundles on special tetragonal curves"
Location: UCB, Evans Hall, Rm 939 Speakers: Feiyang Lin (University of California, Berkeley), Mahrud Sayrafi (University of Minnesota, Twin Cities)Mahrud Sayrafi: "Splitting of vector bundles on toric varieties"
Abstract: In 1964, Horrocks proved that a vector bundle on a projective space splits as a sum of line bundles if and only if it has no intermediate cohomology. Generalizations of this criterion, under additional hypotheses, have been proven for other toric varieties, for instance by Eisenbud-Erman-Schreyer for products of projective spaces, by Schreyer for Segre-Veronese varieties, and Ottaviani for Grassmannians and quadrics. This talk is about a splitting criterion for arbitrary smooth projective toric varieties, as well as an algorithm for finding indecomposable summands of sheaves and modules in the more general setting of Mori dream spaces.
Feiyang Lin: "Finding special line bundles on special tetragonal curves"
Abstract: There is a canonical way to associate to a degree 4 cover of P^1 two vector bundles E and F, which give rise to a stratification of the Hurwitz space H_{4,g}. It is natural to ask whether the Brill-Noether theory of tetragonal curves is controlled by this data. I will describe a procedure for producing a particular line bundle on tetragonal covers in special strata, which is expected to be special in the Hurwitz-Brill-Noether sense. The main technique is the realization of an inflation of vector bundles on P^1 as a blow-up and blow-down of the associated projective bundle.
Updated on Apr 26, 2024 09:25 AM PDT -
COMA Working Group: Quasi-F Splitting
Location: SLMath: Baker Board RoomUpdated on Feb 09, 2024 01:22 PM PST -
COMA/NAG Joint Lunch Seminar: "Ernst Kunz' idea for classifying numerical semigroups"
Location: SLMath: Commons Room Speakers: David Eisenbud (University of California, Berkeley)A numerical semigroup S is a cofinite subset of the non-negative integers, containing 0 and closed under addition. They arise as value semigroups of 1-dimensional singularities, as Weierstrass semigroups of points on smooth curves, and the associated semigroup rings form a pleasantly simple family of examples of 1-dimensional domains.
The smallest nonzero element is called the multiplicity, m(S). Kunz showed that the numerical semigroups of multiplicity m can be represented as the lattice points in a convex rational cone in QQ^(m-1), now called the Kunz cone; and that many properties of the semigroup ring are determined by the face of the Kunz cone on which the semigroup lies.
I'll describe the Kunz cone and some of the still-open problems about semigroup rings that might be studied using it.
Updated on Apr 03, 2024 07:56 AM PDT -
COMA Colloquium
Location: SLMath: Baker Board Room, Online/VirtualUpdated on Jan 23, 2024 12:52 PM PST -
NAG Equivariant Derived Categories Seminar
Location: SLMath: Online/Virtual, Baker Board RoomUpdated on Feb 15, 2024 10:35 AM PST -
COMA/NAG Joint Graduate Student Seminar
Location: SLMath: Online/Virtual, Baker Board RoomUpdated on Feb 27, 2024 02:08 PM PST -
COMA Seminar
Location: SLMath: Online/Virtual, Baker Board RoomUpdated on Mar 14, 2024 02:16 PM PDT -
COMA Memoriam in honor of the life and work of Jürgen Herzog
Location: SLMath: Eisenbud Auditorium, Online/Virtual Speakers: Aldo Conca (Università di Genova)Updated on Apr 24, 2024 11:52 AM PDT -
COMA Working Group: Set Theoretic Complete Intersections
Location: SLMath: Baker Board RoomUpdated on Feb 15, 2024 10:35 AM PST -
NAG Colloquium
Location: SLMath: Eisenbud Auditorium, Online/VirtualUpdated on Mar 21, 2024 10:48 AM PDT -
COMA/NAG Joint Graduate Student Seminar
Location: SLMath: Eisenbud Auditorium, Online/VirtualUpdated on Feb 20, 2024 12:43 PM PST -
NAG Donaldson-Thomas Theory Seminar
Location: SLMath: Eisenbud Auditorium, Online/VirtualUpdated on Mar 21, 2024 10:48 AM PDT -
Commutative Algebra + Algebraic Geometry Seminar
Location: UCB, Evans Hall, Rm 748Updated on Feb 15, 2024 10:36 AM PST -
COMA Working Group: Quasi-F Splitting
Location: SLMath: Baker Board RoomUpdated on Feb 09, 2024 01:22 PM PST -
NAG Noncommutative Projective Schemes Seminar
Updated on Feb 22, 2024 10:04 AM PST -
COMA/NAG Joint Lunch Seminar
Location: SLMath: Commons RoomUpdated on Feb 08, 2024 04:20 PM PST -
COMA Colloquium
Location: SLMath: Eisenbud Auditorium, Online/VirtualUpdated on Jan 23, 2024 12:53 PM PST -
COMA Working Group: Syzygies
Location: SLMath: Baker Board RoomUpdated on Feb 15, 2024 10:36 AM PST -
NAG Categorical Enumerative Invariants Seminar
Location: SLMath: Eisenbud Auditorium, Online/VirtualUpdated on Mar 15, 2024 02:01 PM PDT -
COMA Seminar
Location: SLMath: Eisenbud Auditorium, Front CourtyardUpdated on Jan 23, 2024 02:16 PM PST -
NAG Equivariant Derived Categories Seminar
Location: SLMath: Eisenbud Auditorium, Online/VirtualUpdated on Feb 15, 2024 10:36 AM PST -
NAG Equivariant Derived Categories Seminar
Location: SLMath: Eisenbud Auditorium, Online/VirtualUpdated on Mar 20, 2024 09:39 AM PDT -
COMA Special Topics
Location: SLMath: Eisenbud Auditorium, Online/VirtualCreated on Mar 14, 2024 02:09 PM PDT -
Movie Night: "N is a number: a portrait of Paul Erdős"
Location: SLMath: Eisenbud AuditoriumCreated on Apr 25, 2024 11:14 AM PDT -
COMA Special Topic
Location: SLMath: Online/Virtual, Baker Board Room Speakers: Karl Schwede (University of Utah)Updated on Jan 23, 2024 03:10 PM PST -
COMA Working Group: Set Theoretic Complete Intersections
Location: SLMath: Baker Board RoomUpdated on Feb 15, 2024 10:37 AM PST -
NAG Donaldson-Thomas Theory Seminar
Location: SLMath: Online/Virtual, Baker Board RoomUpdated on Feb 13, 2024 01:55 PM PST -
COMA/NAG Joint Graduate Student Seminar
Location: SLMath: Online/Virtual, Baker Board RoomUpdated on Feb 20, 2024 12:44 PM PST -
NAG Colloquium
Location: SLMath: Online/Virtual, Baker Board RoomUpdated on Mar 21, 2024 10:50 AM PDT -
COMA Working Group: Quasi-F Splitting
Location: SLMath: Baker Board RoomUpdated on Feb 09, 2024 01:22 PM PST -
NAG Noncommutative Projective Schemes Seminar
Updated on Feb 22, 2024 10:05 AM PST -
COMA/NAG Joint Lunch Seminar
Location: SLMath: Commons RoomUpdated on Feb 08, 2024 04:20 PM PST -
COMA Colloquium
Location: SLMath: Eisenbud Auditorium, Online/VirtualUpdated on Jan 23, 2024 12:54 PM PST -
COMA Working Group: Syzygies
Location: SLMath: Baker Board RoomUpdated on Feb 15, 2024 10:37 AM PST -
NAG Categorical Enumerative Invariants Seminar
Location: SLMath: Eisenbud Auditorium, Online/VirtualUpdated on Mar 15, 2024 02:01 PM PDT -
COMA Seminar
Location: SLMath: Front Courtyard, Baker Board RoomUpdated on Jan 23, 2024 02:16 PM PST -
NAG Equivariant Derived Categories Seminar
Location: SLMath: Eisenbud Auditorium, Online/VirtualUpdated on Feb 15, 2024 10:38 AM PST -
NAG Equivariant Derived Categories Seminar
Location: SLMath: Eisenbud Auditorium, Online/VirtualUpdated on Mar 20, 2024 09:39 AM PDT -
COMA/NAG Joint Graduate Student Seminar
Location: SLMath: Eisenbud Auditorium, Online/VirtualUpdated on Feb 27, 2024 02:09 PM PST -
COMA Seminar
Location: SLMath: Eisenbud Auditorium, Online/VirtualCreated on Mar 14, 2024 02:07 PM PDT -
COMA Special Topics
Location: SLMath: Eisenbud Auditorium, Online/VirtualUpdated on Mar 14, 2024 02:18 PM PDT -
COMA Special Topic
Location: SLMath: Eisenbud Auditorium, Online/Virtual Speakers: Joseph Waldron (Michigan State University)Updated on Apr 17, 2024 03:14 PM PDT -
COMA Working Group: Set Theoretic Complete Intersections
Location: SLMath: Baker Board RoomUpdated on Feb 15, 2024 10:39 AM PST -
NAG Colloquium
Location: SLMath: Eisenbud Auditorium, Online/VirtualUpdated on Mar 21, 2024 10:50 AM PDT -
COMA/NAG Joint Graduate Student Seminar
Location: SLMath: Eisenbud Auditorium, Online/VirtualUpdated on Feb 20, 2024 12:45 PM PST -
NAG Donaldson-Thomas Theory Seminar
Location: SLMath: Eisenbud Auditorium, Online/VirtualUpdated on Mar 21, 2024 10:49 AM PDT -
COMA Working Group: Quasi-F Splitting
Location: SLMath: Baker Board RoomUpdated on Feb 09, 2024 01:22 PM PST -
NAG Noncommutative Projective Schemes Seminar
Location: SLMath: Eisenbud Auditorium, Online/VirtualUpdated on Feb 22, 2024 10:06 AM PST -
COMA/NAG Joint Lunch Seminar
Location: SLMath: Commons RoomUpdated on Feb 08, 2024 04:20 PM PST -
COMA Colloquium
Location: SLMath: Eisenbud Auditorium, Online/VirtualUpdated on Jan 23, 2024 01:08 PM PST -
COMA Working Group: Syzygies
Location: SLMath: Baker Board RoomUpdated on Feb 15, 2024 10:39 AM PST -
NAG Categorical Enumerative Invariants Seminar
Location: SLMath: Eisenbud Auditorium, Online/VirtualUpdated on Mar 15, 2024 02:01 PM PDT -
COMA Seminar
Location: SLMath: Eisenbud Auditorium, Front CourtyardUpdated on Jan 23, 2024 02:16 PM PST -
NAG Equivariant Derived Categories Seminar
Location: SLMath: Eisenbud Auditorium, Online/VirtualUpdated on Feb 15, 2024 10:40 AM PST -
NAG Equivariant Derived Categories Seminar
Location: SLMath: Eisenbud Auditorium, Online/VirtualUpdated on Mar 20, 2024 09:39 AM PDT -
COMA/NAG Joint Graduate Student Seminar
Location: SLMath: Eisenbud Auditorium, Online/VirtualUpdated on Feb 27, 2024 02:09 PM PST -
COMA Seminar
Location: SLMath: Eisenbud Auditorium, Online/VirtualUpdated on Mar 14, 2024 02:18 PM PDT -
COMA Special Topics
Location: SLMath: Eisenbud Auditorium, Online/VirtualUpdated on Mar 14, 2024 02:19 PM PDT
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ADJOINT 2024
ADJOINT is a yearlong program that provides opportunities for U.S. mathematicians – especially those from the African Diaspora – to conduct collaborative research on topics at the forefront of mathematical and statistical research. Participants will spend two weeks taking part in an intensive collaborative summer session at SLMath (formerly MSRI). The two-week summer session for ADJOINT 2024 will take place June 24 to July 5, 2024 in Berkeley, California. Researchers can participate in either of the following ways: (1) joining ADJOINT small groups under the guidance of some of the nation's foremost mathematicians and statisticians to expand their research portfolio into new areas, or (2) applying to Self-ADJOINT as part of an existing or newly-formed independent research group to work on a new or established research project. Throughout the following academic year, the program provides conference and travel support to increase opportunities for collaboration, maximize researcher visibility, and engender a sense of community among participants.
Updated on Apr 10, 2024 10:50 AM PDT
Past Seminars
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Seminar NAG Equivariant Derived Categories Seminar: "Windows in the mirror, Part I"
Updated on Apr 22, 2024 08:24 AM PDT -
Seminar COMA Seminar: "Lefschetz properties for artinian Gorenstein algebras"
Updated on Apr 17, 2024 03:17 PM PDT -
Seminar NAG Categorical Enumerative Invariants Seminar: "Categorical Enumerative Invariants, computational aspects"
Updated on Apr 25, 2024 08:02 AM PDT -
Seminar COMA Working Group: Syzygies: "Koszul cohomology and the geometry of projective varieties, by Mark Green"
Updated on Apr 17, 2024 03:23 PM PDT -
Seminar COMA Colloquium: "Finite Frobenius representation type, differential operators, and invariant rings"
Updated on Apr 17, 2024 03:02 PM PDT -
Seminar COMA/NAG Joint Lunch Seminar: "Invitation to tt-geometry"
Updated on Apr 18, 2024 10:06 AM PDT -
Seminar NAG Noncommutative Projective Schemes Seminar: "Noncommutative del Pezzo surfaces via AS-regular algebras"
Updated on Apr 24, 2024 08:44 AM PDT -
Seminar COMA Working Group: Quasi-F Splitting:
Updated on Apr 17, 2024 03:24 PM PDT -
Seminar Commutative Algebra + Algebraic Geometry Seminar: "Galois groups in Enumerative Geometry" & "The Kähler package for finite geometries and modular lattices"
Updated on Apr 23, 2024 12:43 PM PDT -
Seminar COMA Working Group: Set Theoretic Complete Intersections
Updated on Apr 19, 2024 09:44 AM PDT -
Seminar NAG Geometric Representation Theory Seminar: "Symmetric homology and derived character maps of representations"
Updated on Apr 18, 2024 09:42 AM PDT -
Seminar COMA/NAG Joint Graduate Student Seminar: "On the effective generation of direct images of pluricanonical bundles in mixed characteristic"
Updated on Apr 18, 2024 02:22 PM PDT -
Seminar NAG Colloquium: "The noncommutative minimal model program"
Updated on Apr 19, 2024 02:22 PM PDT -
Seminar COMA Special Topic: "Quasi-F-regularity"
Updated on Apr 17, 2024 03:10 PM PDT -
Seminar NAG Noncommutative Projective Schemes Seminar: "Koszul, CY deformations of q-symmetric algebras"
Updated on Apr 11, 2024 01:07 PM PDT -
Seminar NAG Seminar: "Dwyer-Kan theorem for model categories"
Updated on Apr 09, 2024 11:19 AM PDT -
Seminar NAG Categorical Enumerative Invariants Seminar: "An introduction to Categorical Enumerative Invariants, part 2"
Updated on Apr 03, 2024 10:37 AM PDT -
Seminar COMA Working Group: Syzygies: "Asymptotic vanishing of syzygies of algebraic varieties, by Jinhyung Park"
Updated on Mar 29, 2024 10:39 AM PDT -
Seminar NAG Equivariant Derived Categories Seminar: "Window categories, mutations, and perverse schobers"
Updated on Mar 29, 2024 10:02 AM PDT -
Seminar COMA Working Group: Quasi-F Splitting
Updated on Feb 09, 2024 01:22 PM PST -
Seminar Commutative Algebra + Algebraic Geometry Seminar: "Kuramoto oscillators: dynamical systems meet algebra" & "Number of Generators of Licci Ideals"
Updated on Mar 28, 2024 03:01 PM PDT -
Seminar NAG Donaldson-Thomas Theory Seminar: "Zero-dimensional DT invariants of CY 4-folds, part 2"
Updated on Mar 27, 2024 03:12 PM PDT -
Seminar COMA Colloquium: "Local cohomology, free resolutions, and Tor modules"
Updated on Mar 21, 2024 08:47 AM PDT -
Seminar NAG Geometric Representation Theory Seminar: "The BPS sheaves and quiver varieties"
Updated on Mar 27, 2024 01:02 PM PDT -
Seminar COMA/NAG Joint Graduate Student Seminar: "Cohomological Support Varieties and the Derived Category of a Complete Intersection"
Updated on Mar 28, 2024 03:16 PM PDT -
Seminar NAG Colloquium: "Mukai bundles on Fano threefolds"
Updated on Mar 28, 2024 03:54 PM PDT -
Seminar COMA Working Group: Set Theoretic Complete Intersections: "Quasi-principle modules"
Updated on Mar 29, 2024 09:30 AM PDT -
Seminar COMA Special Topic: "Free Resolutions, Linkage, and Representation Theory"
Updated on Mar 15, 2024 08:34 AM PDT -
Seminar COMA Seminar Series on FFRT: Discussion Session
Updated on Mar 22, 2024 01:36 PM PDT -
Seminar COMA Special Topics: "Free Resolutions, Linkage, and Representation Theory"
Updated on Mar 15, 2024 08:33 AM PDT