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1
AIM Workshop — Degree d points on algebraic surfaces
18 Mar 2024 - 22 Mar 2024 • Pasadena, California, United States
Organizer:
American Institute of Mathematics (AIM)
Abstract:
The study of degree d points on algebraic curves over ℚ is a rich and mature area of research, with the Abel-Jacobi map and the Mordell-Lang conjecture providing powerful tools for exploration. However, for higher dimensional varieties there is no such approach that works in general. Because of this, we lack even a conjectural framework for understanding which higher dimensional varieties over ℚ should have "many" degree d points. The workshop will focus on questions aimed at addressing this dearth, concentrating on the case of algebraic surfaces. For instance, what does it mean for a surface over ℚ to have "many" degree d points? What are some geometric constructions that give rise to abundant degree d points? Are these related to geometric measures of irrationality? If HilbdX has a Zariski dense set of ℚ-points for some small d, does that yield any arithmetic or geometric consequences for X? If X embeds into its Albanese, can we obtain results analogous to that of curves?
Event listing ID:
1568677
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2
BLAST 2024
06 Apr 2024 - 09 Apr 2024 • University of North Texas, Denton, TX, United States
Abstract:
The series is based in the mountain/western/midwestern region, and circulates between different universities. The BLAST series is partially supported by the NSF.
Topics:
BLAST is an acronym for the annual conference on Boolean Algebras - Lattices, Algebraic Logic, and Quantum Logic - Universal Algebra - Set Theory - Set-theoretic and Point-free Topology
Event listing ID:
1598316
3
Recent Developments in Noncommutative Algebraic Geometry
08 Apr 2024 - 12 Apr 2024 • Berkeley, California, United States
Organizer:
Simons Laufer Mathematical Sciences Institute (SLMath)
Abstract:
This workshop will give an overview of recent developments in non-commutative algebraic geometry, including NC projective AG, NC resolutions, semiorthogonal decompositions, enhancements of derived categories, and connections to homological mirror symmetry, to enumerative AG, to moduli spaces and to birational geometry. It will in particular focus on speakers who have built new bridges between these topics.
Event listing ID:
1571347
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4
Workshop — Recent Developments in Noncommutative Algebraic Geometry
08 Apr 2024 - 13 Apr 2024 • MSRI, Berkeley, CA, United States
Organizer:
Mathematical Sciences Research Institute (MSRI)
Abstract:
This workshop will give an overview of recent developments in non-commutative algebraic geometry, including NC projective AG, NC resolutions, semiorthogonal decompositions, enhancements of derived categories, and connections to homological mirror symmetry, to enumerative AG, to moduli spaces and to birational geometry. It will in particular focus on speakers who have built new bridges between these topics.
Event listing ID:
1538246
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5
Workshop II — Integrability and Algebraic Combinatorics
15 Apr 2024 - 19 Apr 2024 • Los Angeles, CA, United States
Organizer:
Institute for Pure and Applied Mathematics (IPAM)
Abstract:
We have seen how probability motivates new research directions in algebraic combinatorics and how algebraic combinatorics leads to new discoveries in probability. The aim of the workshop is to further stimulate the cross-infiltration of the ideas between two fields.
Topics:
Part of the Long Program Geometry, Statistical Mechanics, and Integrability
Event listing ID:
1568704
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6
Recent Developments in Commutative Algebra
15 Apr 2024 - 19 Apr 2024 • Berkeley, California, United States
Organizer:
Simons Laufer Mathematical Sciences Institute (SLMath)
Abstract:
Many long-standing conjectures in commutative algebra have been solved in recent years, often through the introduction of new methods that are quickly becoming central to the field. This workshop will bring together a wide array of researchers in commutative algebra and related fields, with the goal of forging new connections among topics, and with a particular emphasis on transformative new methods.
Topics:
Commutative rings, modules, ideals, mixed characteristic, Frobenius powers, test ideals, tight closure, perfectoid methods, singularities, birational algebraic geometry, multiplier ideals, symbolic powers, syzygies, free resolutions, homological methods, derived categories, polynomials, monomial ideals, toric varieties, Schubert varieties, combinatorial commutative algebra, equivariant ideals, maximal Cohen-Macaulay modules, applications of representation theory, twisted commutative algebras, D-modules, local cohomology, computational commutative algebra, graded rings and projective varieties
Event listing ID:
1571250
7
Workshop — Recent Developments in Commutative Algebra
15 Apr 2024 - 20 Apr 2024 • MSRI, Berkeley, CA, United States
Organizer:
Mathematical Sciences Research Institute (MSRI)
Abstract:
Many long-standing conjectures in commutative algebra have been solved in recent years, often through the introduction of new methods that are quickly becoming central to the field. This workshop will bring together a wide array of researchers in commutative algebra and related fields, with the goal of forging new connections among topics, and with a particular emphasis on transformative new methods.
Event listing ID:
1515787
8
Advances in Lie Theory, Representation Theory and Combinatorics: Inspired by the work of Georgia M. Benkart
01 May 2024 - 03 May 2024 • Berkeley, California, United States
Organizer:
Simons Laufer Mathematical Sciences Institute (SLMath)
Abstract:
This meeting will feature principal contributors in these areas in a celebration of the work of Georgia Benkart. With the same focus and tenacity that Georgia always had, we will strive to provide a conference full of beautiful mathematics, incredible inspiration, and the warmth of Georgia’s welcoming personality to our field and our community.
Topics:
Lie algebras, Representation theory, combinatorics
Event listing ID:
1571317
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9
Workshop — Advances in Lie Theory, Representation Theory and Combinatorics: Inspired by the work of Georgia M. Benkart
01 May 2024 - 04 May 2024 • MSRI, Berkeley, CA, United States
Organizer:
Mathematical Sciences Research Institute (MSRI)
Abstract:
This workshop will have a view to the future of a broad spectrum of topics including structure and classification of finite dimensional Lie algebras and superalgebras in characteristic p structure of infinite dimensional Lie algebras and their representations deformation theory of algebras, double constructions and elemental Lie algebras diagram algebras and combinatorial representation theory algebraic combinatorics of groups of Lie type:characters, Schur-Weyl duality, Bratteli diagrams, and McKay correspondences quantum groups and crystal bases, particularly for superalgebras and affine algebras examples of fusion categories arising from representations of Drinfeld doubles and other algebras cohomology for finite tensor categories with applications to its underlying geometry

This meeting will feature principal contributors in these areas in a celebration of the work of Georgia Benkart. With the same focus and tenacity that Georgia always had, we will strive to provide a conference full of beautiful mathematics, incredible inspiration, and the warmth of Georgia’s welcoming personality to our field and our community.

Event listing ID:
1538170
Related subject(s):
10
International Conference on L-functions and Automorphic Forms
13 May 2024 - 16 May 2024 • Vanderbilt University in Nashville, TN, United States
Abstract:
This conference is devoted to the areas of L-functions and autmorphic forms. In particular, it focusses on the interactions between both fields, which have a long and fruitful history since the fundamental work by Hecke about 90 years ago. The topics will focus on new developments around the areas indicated in the title, as well as establishing and furthering dialogue on new developments at the boundary of these areas. Given the ubiquity of automorphic forms throughout number theory as well as their strong interaction with the field of L-functions, it is very reasonable to expect that both areas will benefit from each other in the future as well. It is likely that this would lead to ideas more broadly useful in other areas of pure mathematics as well as to new types of objects to inspect and new structural questions within both fields.
Event listing ID:
1580455
Related subject(s):
11
Workshop IV — Vertex Models: Algebraic and Probabilistic Aspects of Universality
20 May 2024 - 24 May 2024 • Los Angeles, CA, United States
Organizer:
Institute for Pure and Applied Mathematics (IPAM)
Abstract:
The interplay of integrable models of statistical mechanics with combinations of probability theory and algebraic methods such as transfer matrix formalism, diagram algebras, and quantum group techniques, has proved fruitful in the past decades in both mathematics and physics. It has been particularly beneficial to enhance interactions between researchers working at the interfaces of these areas. The aim of this workshop is to bring together experts in algebraic and probabilistic aspects of solvable lattice models as well as researchers working on related algebraic subjects who have a common interest in understanding universal phenomena such as KPZ behavior, limit shapes, and convergence of lattice models to CFT predictions. In particular, we aim to develop interactions between different approaches to the study of lattice models, such as Bethe ansatz, (inhomogeneous) CFT methods and the tangent method. Other topics of potential interest include multi-species, forest fires and sandpile models, for which such interactions are less developed as for now. We also intend to foster interactions between researchers studying quantum groups and CFT on the one hand and probabilists working on SLE/CLE topics on the other, hoping for a fruitful synthesis of ideas and techniques.
Event listing ID:
1570376
12
36th Automorphic Forms Workshop
20 May 2024 - 24 May 2024 • Stillwater, Oklahoma, United States
Organizer:
Oklahoma State University in Stillwater
Abstract:
Over the last 36 years, the Annual Workshop on Automorphic Forms and Related Topics has remained a small and friendly conference. This year the conferece will take place May 20-24th in Stillwater, Oklahoma. Those attending range from students to new PhD's to established researchers. For young researchers, the conference has provided support and encouragement. For accomplished researchers, it has provided the opportunity to mentor as well as a forum for exchanging ideas. The workshop has become internationally recognized for both its high-quality research talks and its supportive atmosphere for junior researchers. Participants present cutting-edge research in all areas related to automorphic forms. These include mock modular forms, Maass wave forms, elliptic curves, Siegel and Jacobi modular forms, special values of L-functions, random matrices, quadratic forms, applications of modular forms, and many other topics.
Event listing ID:
1580390
Related subject(s):
13
Representation Theory and Related Geometry: Progress and Prospects (On the occasion of Daniel K. Nakano's 60th birthday).
27 May 2024 - 31 May 2024 • Athens, GA, United States
Organizer:
University of Georgia, Athens, GA, USA
Abstract:
The aim of this conference is to bring together a diverse array of leading mathematicians in algebra and representation theory to promote future collaborations and inspire a new generation of mathematicians to work on exciting problems in these fields.
Topics:
Cohomology and Modular Representation Theory, Representations of Lie (Super)algebras, Geometric Representation Theory, Noncommutative Algebraic Geometry.
Event listing ID:
1570386
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14
CTNT 2024 — Connecticut Summer School in Number Theory
10 Jun 2024 - 16 Jun 2024 • Storrs, CT, United States
15
AIM Workshop: Symmetry-breaking of optimal shapes
17 Jun 2024 - 21 Jun 2024 • American Institute of Mathematics, Pasadena, California, United States
Organizer:
American Institute of Mathematics (AIM)
Abstract:
This workshop, sponsored by AIM and the NSF, investigates Shape Optimization problems for which symmetry-breaking is believed to occur: the energy functional is radially symmetric and yet its minimizer fails to enjoy full symmetry. Unlike in many other problems, the optimal shape is not the ball. The ball does solve many natural shape optimization problems for geometric and physical models, including the classical isoperimetric inequality and inequalities for capacity and the first eigenvalue of the Laplacian under Dirichlet, Robin or Neumann boundary conditions. Thus it becomes particularly fascinating to investigate problems where the ball is NOT the best, and to determine the optimal shape in those situations.
Topics:
The main topics for the workshop are: Topic 1: Examples where the ball is non-optimal. Topic 2: Techniques for identifying optimal shapes: shaking, tensorization, geometric flows, first or second order arguments to prove the optimal shape must be a polygon or polytope, free boundaries analysis. Topic 3: Notable conjectures including Polya's capacity problem, Neumann spectral problems, problems from convex geometry, isodiametric capacity maximizers, Alexandrov's conjecture for intrinsic diameter.
Event listing ID:
1598214
Related subject(s):
16
PCMI 2024 Research Topic: Motivic Homotopy
07 Jul 2024 - 27 Jul 2024 • Princeton, New Jersey, United States
Organizer:
Institute for Advanced Study, Princeton, New Jersey
Event listing ID:
1607230
Event website:
17
The Mordell conjecture 100 years later
08 Jul 2024 - 12 Jul 2024 • MIT, Cambridge, MA, United States
Organizer:
Massachusetts Institute of Technology (MIT)
Event listing ID:
1540041
18
AIM Workshop: Scissors congruences, algebraic K-theory and Steinberg modules
08 Jul 2024 - 12 Jul 2024 • American Institute of Mathematics, Pasadena, California, United States
Organizer:
American Institute of Mathematics (AIM)
Abstract:
This workshop, sponsored by AIM and the NSF, will be devoted to connections between scissors congruence K-theory and Steinberg modules. Scissors congruence is the study of when objects such as polyhedra, manifolds, varieties, etc. are equivalent under decomposition into pieces. In the last decade, the introduction of K-theoretic constructions in the study of scissors congruence problems by Campbell and Zakharevich has seen exciting applications and opened new avenues of attack on this problem. Generalizing results for classical scissors congruence groups, Malkiewich showed that scissors congruence groups can be described as group homology with coefficients in Steinberg modules. Steinberg modules are certain representations that are relevant to the study of representations of linear groups, algebraic K-theory, and the cohomology of arithmetic groups. The goal of the workshop is to bring together researchers studying scissors congruence K-theory and as well as Steinberg modules, in order to explore interactions between the two fields.
Topics:
The main topics for the workshop are: Scissors congruence K-theory Resolutions of Steinberg modules (Co)algebraic structures of Steinberg modules and scissors congruence spectra Connections with more classical forms of K-theory
Event listing ID:
1598155
Related subject(s):
19
Introduction to the Theory of Algebraic Curves
08 Jul 2024 - 19 Jul 2024 • Berkeley, California, United States
Organizer:
Simons Laufer Mathematical Sciences Institute (SLMath)
Abstract:
In the last few years, there have been extraordinary developments in many aspects of curve theory. Beginning with many examples in low genus, this summer school will introduce the participants to the background behind these developments in the following areas: moduli spaces of stable curves Brill–Noether theory the extrinsic geometry of the curves in projective space We will also include an introduction to some open problems at the forefront of these active areas.
Event listing ID:
1587564
20
Introductory Workshop: New Frontiers in Curvature
26 Aug 2024 - 30 Aug 2024 • Berkeley, California, United States
Organizer:
Simons Laufer Mathematical Sciences Institute (SLMath)
Abstract:
This workshop will include introductory lectures on each of the four main topics of the program: geometric flows, geometric problems in mathematical relativity, global Riemannian geometry, and minimal submanifolds. The workshop will also have semi-expository lectures on recent advances and breakthroughs involving interactions between the four main topics. This will set the stage and provide important context for the semester-long program itself.
Topics:
mean curvature flow, Ricci flow, fully nonlinear flows, general relativity, mass, Ricci curvature, scalar curvature, sectional curvature, symmetry, Riemannian geometry, group actions, minimal surfaces, stability and index
Event listing ID:
1571318
21
Algebraic and Analytic Methods in Combinatorics
17 Mar 2025 - 21 Mar 2025 • Berkeley, California, United States
Organizer:
Simons Laufer Mathematical Sciences Institute (SLMath)
Abstract:
Many exciting breakthroughs in combinatorics involve innovative applications of techniques from a wide range of areas such as harmonic analysis, polynomial and linear algebraic methods, spectral graph theory, and representation theory. This workshop will present recent developments in this area and facilitate discussions of research problems.
Topics:
extremal combinatorics, extremal graph theory, probabilistic combinatorics, discrete geometry, additive combinatorics, combinatorial geometry, incidence geometry, arithmetic progressions, Discrete analysis
Event listing ID:
1571388
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Last updated: 13 February 2024