# Events - December 2020

Friday, December 11, 2020 — 2:30 PM EST

## Geometry & Topology Seminar

Eric Boulter, Department of Pure Mathematics, University of Waterloo

"Smooth and Compact Moduli Spaces of Sheaves on Kodaira Surfaces"

Thursday, December 10, 2020 — 1:00 PM EST

## Special Colloquium

Florian Richter, Northwestern University

"Applications of Ergodic Theory to Combinatorics and Number Theory"

Wednesday, December 9, 2020 — 1:00 PM EST

## Special Colloquium

Jiuya Wang, Duke University

"The Distribution of Class Groups of Number Fields"

Class group is a central object of the study in number theory. We will give an overview on new developments in the distribution of class groups with a fixed Galois group. In particular, we will explain the use of symmetry which has been overlooked for decades, but turns out to be an essential tool to obtain many new results on the distribution of class groups.

A post-colloquium meet and greet will be held at 2:00 pm using the same Zoom meeting link.

Wednesday, December 9, 2020 — 11:00 AM EST

## Master's Thesis Presentation

Caleb Suan, Department of Pure Mathematics, University of Waterloo

"Differential Operators on Manifolds with $G_2$-Structure"

Tuesday, December 8, 2020 — 1:00 PM EST

## Special Colloquium

Alex Weekes, University of British Columbia

"Nilpotent orbits and affine Grassmannians"

Monday, December 7, 2020 — 1:00 PM EST

## Geometry Working Seminar

Daren Cheng, Department of Pure Mathematics, University of Waterloo

"Stable minimal surfaces in R4"

Thursday, December 3, 2020 — 4:00 PM EST

Mani Thamizhazhagan, Department of Pure Mathematics, University of Waterloo

"On the interplay of harmonic analysis, combinatorics, additive number theory and ergodic theory"

Thursday, December 3, 2020 — 1:00 PM EST

## Special Colloquium

Elana Kalashnikov, Harvard University

"Quiver flag varieties and mirror symmetry"

Wednesday, December 2, 2020 — 1:00 PM EST

## Special Colloquium

Sherry Gong, Stanford University

We give an overview of some invariants to distinguish knots and links, and discuss some particular algebraic and geometric invariants. We discuss how these invariants relate to the smooth 4-dimensional Poincare conjecture, one of the most important questions in 4-manifold topology.

A post-colloquium meet and greet will be held at 2:00 pm using the same Zoom meeting link.

Tuesday, December 1, 2020 — 1:00 PM EST

## Special Colloquium

Junliang Shen, MIT

"The P=W conjecture and hyper-Kähler geometry"

The P=W conjecture by de Cataldo, Hausel, and Migliorini suggests a surprising connection between the topology of Hitchin systems and Hodge theory of character varieties. In this talk, we will focus on interactions between topology of Lagrangian fibrations and Hodge theory in general hyper-Kaehler geometries. Such connections shed new light on both the P=W conjecture for Hitchin systems and the Lagrangian base conjecture for compact hyper-Kähler manifolds.

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