Previous Conferences & Workshops

Mar
12
2024

Special Year Workshop on p-adic Arithmetic Geometry

p-adic Analytic Geometry and Chromatic Homotopy Theory
Tomer Schlank
4:30pm|Wolfensohn Hall

Abstract: Chromatic homotopy theory relates certain important questions in homotopy theory to the theory of formal groups. 

Recent advancements in p-adic geometry can be thus used to study questions in homotopy theory. I will discuss how this...

Mar
12
2024

Special Year Workshop on p-adic Arithmetic Geometry

Prismatic Crystals, q-Higgs Modules, and their Cohomology
Takeshi Tsuji
2:30pm|Wolfensohn Hall

Abstract: We study prismatic crystals and their cohomology by using q-Higgs modules (= a q-analogue of p-connections). When the base is lying over the q-crystalline prism, they are locally described in terms of q-Higgs modules and the associated...

Mar
12
2024

Special Year Workshop on p-adic Arithmetic Geometry

Characteristic Classes of Étale Local Systems
12:00pm|Wolfensohn Hall

Abstract: Given an étale Zp-local system of rank n on an algebraic variety X, continuous cohomology classes of the group GLn(Zp) give rise to classes in (absolute) étale cohomology of the variety with coefficients in Qp. These characteristic classes...

Mar
12
2024

Computer Science/Discrete Mathematics Seminar II

The Structure of Translational Tilings in Z^d
10:30am|Simonyi Hall 101 and Remote Access

A finite set $F$ in $\mathbb{Z}^d$ is a translational tile of  $\mathbb{Z}^d$ if one can cover  $\mathbb{Z}^d$ by translated copies of $F$ without any overlaps, i.e., there exists a translational tiling of $\mathbb{Z}^d$ by $F$.  Suppose that $F$ is...

Mar
12
2024

Special Year Workshop on p-adic Arithmetic Geometry

On the K-theory of Z/p^n
Achim Krause
10:00am|Wolfensohn Hall

Abstract: In recent work with Antieau and Nikolaus we use prismatic cohomology to compute algebraic K-theory of Z/pn and similar rings. Our approach is based on a new description of absolute prismatic cohomology, which can be made completely...

Mar
11
2024

Special Year Workshop on p-adic Arithmetic Geometry

Igusa Stacks and Local-Global Compatibility
Mingjia Zhang
4:30pm|Wolfensohn Hall

Abstract: Recently the work of Fargues--Scholze provides a geometrization of the local Langlands conjecture. It is natural to ask if in this context any form of local-global compatibility can be stated/verified. We discuss some expectations and...

Mar
11
2024

Special Year Workshop on p-adic Arithmetic Geometry

p-adic Non-Abelian Hodge Theory via Moduli Stacks
Ben Heuer
2:30pm|Wolfensohn Hall

Abstract: The p-adic Simpson correspondence aims to give a non-abelian generalisation of the Hodge-Tate decomposition. Following an idea of Faltings, it should relate pro-étale vector bundles on smooth rigid spaces over Cp to Higgs bundles. In this...

Mar
11
2024

Symplectic Geometry Seminar

Relative Calabi-Yau Structures for Legendrian Contact Homology
Joshua Sabloff
12:30pm|Rubenstein Commons | Meeting Room 5

Legendrian Contact Homology (LCH) was among the first, and is still among the most important, non-classical invariants of Legendrian knots. In this talk, I will tell a story that builds up ever more sophisticated analogues of Poincare Duality in LCH...

Mar
11
2024

Special Year Workshop on p-adic Arithmetic Geometry

Singularities in Mixed Characteristic via Alterations
Karl Schwede
12:00pm|Wolfensohn Hall

Abstract: Multiplier ideals and test ideals are ways to measure singularities in characteristic zero and p > 0 respectively.  In characteristic zero, multiplier ideals are computed by a sufficiently large blowup by comparing the canonical module of...