Events - 2020

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

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

Florian Richter, Northwestern University

"Applications of Ergodic Theory to Combinatorics and Number Theory"

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

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

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

Alex Weekes, University of British Columbia

"Nilpotent orbits and affine Grassmannians"

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

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

Elana Kalashnikov, Harvard University

"Quiver flag varieties and mirror symmetry"

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

Sherry Gong, Stanford University

"Invariants of knots and links"

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

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.

Monday, November 30, 2020 — 4:00 PM EST

Jonathan Zhu, Princeton

"Mean curvature flow and explicit Łojasiewicz inequalities"

Friday, November 27, 2020 — 2:30 PM EST

Brady Ali Medina, Department of Pure Mathematics, University of Waterloo

"A different way to generalize the Weierstrass semigroup"

Friday, November 27, 2020 — 1:00 PM EST

Michael Brannan, Texas A&M University

"Quantum symmetries of graphs"

Thursday, November 26, 2020 — 4:00 PM EST

Caleb Suan, Department of Pure Mathematics, University of Waterloo

"Intro to Knots and Knot Invariants"

Thursday, November 26, 2020 — 1:00 PM EST

Lei Alice Chen, California Institute of Technology

"Actions of Homeo and Diffeo groups on manifolds"

In this talk, I discuss the general question of how to obstruct and construct group actions on manifolds. I will focus on large groups like Homeo(M) and Diff(M) about how they can act on another manifold N. The main result is an orbit classification theorem, which fully classifies possible orbits. I will also talk about some low dimensional applications and open questions. This is a joint work with Kathryn Mann.

Wednesday, November 25, 2020 — 2:30 PM EST

Yifeng Huang, University of Michigan - Ann Arbor

"A generating function for counting mutually annihilating matrices over a finite field"

Monday, November 23, 2020 — 4:00 PM EST

Gigliola Staffilani, MIT

"The many faces of dispersive equations"

Friday, November 20, 2020 — 2:30 PM EST

Ákos Nagy, University of California Santa Barbara

"The asymptotic geometry of G_2-monopoles"

Wednesday, November 18, 2020 — 10:00 AM EST

Seda Albayrak, Department of Pure Mathematics, University of Waterloo

"Sparse Automatic Sets"

I will present results in the theory of sparse automatic sets in three different contexts: the theory of algebraic power series, unlikely intersections, and the theory of representations in additive bases.

Online

Friday, November 13, 2020 — 2:30 PM EST

Joe Driscoll, University of Leeds

"Deformations of Asymptotically Conical G2-Instantons"

Tuesday, November 3, 2020 — 11:00 AM EST

Chris Sangwin, University of Edinburgh

"Assessing students' proofs online"

In this seminar I will describe how we, at the University of Edinburgh, have tried to help students learn proof through online assessment. This is ongoing work, driven by a practical need and constrained by current technology which cannot automatically assess students' free form proof. The seminar will discuss the nature of elementary proof more generally.

Monday, November 2, 2020 — 4:00 PM EST

Andreas Thom, Technische Universität Dresden

"Finitary approximation properties of groups"

Motivated by the study of equations over groups, I will explain various finitary approximation properties of groups. Related to this, old questions of Ulam will reappear and we will motivate and discuss the notion of stability of solutions and almost solutions to algebraic equations.

Zoom meeting: https://zoom.us/j/92568762391?pwd=djh2Q2R6OFlHbUtCUEZsbE42ZDhxZz09

Wednesday, October 28, 2020 — 2:00 PM EDT

Seda Albayrak, Department of Pure Mathematics, University of Waterloo

"A refinement of Christol’s theorem"

Monday, October 19, 2020 — 4:00 PM EDT

Sergey Grigorian, University of Texas Rio Grande Valley

"Smooth loops"

Friday, October 9, 2020 — 2:30 PM EDT

Niky Kamran, McGill University

"Non-uniqueness for the anisotropic Calderon problem"

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