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Upcoming Programmatic Workshops

  1. Introductory Workshop: Diophantine Geometry

    Organizers: Hector Pasten (Pontificia Universidad Católica de Chile), Yunqing Tang (University of California, Berkeley), LEAD Shou-Wu Zhang (Princeton University)
    Introd image
    Rational points on a general type surface. Image by Hector Pasten.

    This will be a hybrid workshop with both in-person and virtual participation.

    This workshop will feature expository lectures about  current developments in  Diophantine geometry. This includes  the uniform Mordell—Lang for rational points on curves,  the  Andre—Oort conjecture for special points on Shimura varieties, and effective results via Chabauty method, and related topics in  Arakelov theory, unlikely intersections, arithmetic statistics, arithmetic dynamics, and p-adic Hodge theory.

    Updated on Jan 28, 2023 03:57 PM PST
  2. Shimura Varieties and L-functions

    Organizers: Michael Harris (Columbia University), David Loeffler (University of Warwick), Elena Mantovan (California Institute of Technology), Christopher Skinner (Princeton University), Sarah Zerbes (ETH Zürich), LEAD Wei Zhang (Massachusetts Institute of Technology)
    Some Gaussian periods for the 29,070-th cyclotomic extension. Image credit: E. Eischen, based on earlier work by W. Duke, S. R. Garcia, T. Hyde, and R. Lutz

    The topical workshop will be dedicated to Shouwu Zhang, to mark the occasion of his 60th birthday, and to honour his numerous beautiful contributions to the theory of Shimura varieties and special values of L-functions. It will highlight cutting edge work on topics such as the construction of Euler systems; relations between special cycles on Shimura varieties and L-functions, such as generalized Gross-Zagier formulas and the Tate conjecture; the construction of Galois representations in cohomology; and related aspects of the theory of automorphic forms.

    Updated on Aug 25, 2021 03:20 PM PDT
  3. Degeneracy of algebraic points

    Organizers: Jennifer Balakrishnan (Boston University), LEAD Mirela Ciperiani (University of Texas, Austin), Philipp Habegger (University of Basel), Wei Ho (Institute for Advanced Study), Hector Pasten (Pontificia Universidad Católica de Chile), Yunqing Tang (University of California, Berkeley), Shou-Wu Zhang (Princeton University)
    A genus 2 curve over the reals and various p-adics. Image created by Prof. Jennifer Balakrishnan .

    In recent years, a number of techniques have led to outstanding progress on Lang-Vojta conjectures, such as the Subspace Theorem, p-adic approaches to finiteness, and modular methods. Similarly, spectacular progress has been achieved on unlikely intersection conjectures thanks to new methods and tools, such as height formulas for special points, connections to model theory, refined counting results, and new theorems of Ax-Shanuel type (bi-algebraic geometry). The goal of this workshop is to create the opportunity for these two groups to interact, to share their techniques, to update on the most recent progress, and to attack the outstanding open questions in the field.

    Updated on Jul 27, 2022 09:28 AM PDT
  4. Connections Workshop: Algorithms, Fairness, and Equity

    Organizers: Vincent Conitzer (Carnegie Mellon University), LEAD Rachel Cummings (Columbia University), Ana-Andreea Stoica (University of California, Berkeley)

    The Connections Workshop will welcome participants of all genders and identities, with the scope of fostering a sense of community, amplifying voices of those who identify as women, and providing avenues to allies to be helpful. The workshop particularly aims to increase visibility among junior women in fields adjacent to the topics of the general program, including but not limited to game-theoretic fairness, mechanism design, partition, networks, redistricting, and fairness in machine learning. This two-day workshop will include keynote speakers, lightning talks from participants, panel discussions on career advancement, breakout sessions by research areas, opportunities for networking, and other mentoring activities.

    Updated on Jan 03, 2023 03:41 PM PST
  5. Connections Workshop: Commutative Algebra

    Organizers: Christine Berkesch (University of Minnesota, Twin Cities), Louiza Fouli (New Mexico State University), Maria Evelina Rossi (Università di Genova), LEAD Alexandra Seceleanu (University of Nebraska)
    Emmy Noether (1882-1935), a prominent founder of commutative ring theory

    This two-day workshop will feature the work of mathematicians in commutative algebra who identify as women or another marginalized gender. The talks will be appropriate for graduate students, post-docs, and researchers in areas related to the program. This meeting aims to support young researchers. The format will include plenary talks, poster sessions, panel discussions, as well as the opportunity for informal discussions and connections.  The workshop is open to all mathematicians, and members of historically excluded groups and identities are especially encouraged to attend.

    Updated on Nov 04, 2022 04:05 PM PDT
  6. Introductory Workshop: Commutative Algebra

    Organizers: Srikanth Iyengar (University of Utah), Claudia Miller (Syracuse University), Claudia Polini (University of Notre Dame), LEAD Anurag Singh (University of Utah)
    Msri 1053 image
    Fractal behavior of local cohomology. For details, see arXiv:2210.03656 by Gao and Raicu

    The Introductory Workshop will feature lecture series devoted to some recent breakthrough results in commutative algebra, and to new developments in core areas of the field.  It will also highlight links to other areas such as arithmetic geometry, representation theory, noncommutative geometry, and singularity theory.

    Updated on Oct 31, 2022 04:02 PM PDT
  7. Recent Developments in Noncommutative Algebraic Geometry

    Organizers: Arend Bayer (University of Edinburgh), Graham Leuschke (Syracuse University), Alexander Polishchuk (University of Oregon), Susan Sierra (University of Edinburgh), Yan Soibelman (Kansas State University), Spela Spenko (Université Libre de Bruxelles), Gregory Stevenson (Aarhus University)
    Optical illusion staircase

    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.

    Updated on Nov 30, 2022 09:03 AM PST
  8. Recent Developments in Commutative Algebra

    Organizers: Daniel Erman (University of Wisconsin-Madison), Linquan Ma (Purdue University), LEAD Karl Schwede (University of Utah), Karen Smith (University of Michigan), Andrew Snowden (University of Michigan), Irena Swanson (Purdue University)

    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.

    Created on Jul 27, 2022 02:01 PM PDT