Contact Info
Pure MathematicsUniversity of Waterloo
200 University Avenue West
Waterloo, Ontario, Canada
N2L 3G1
Departmental office: MC 5304
Phone: 519 888 4567 x43484
Fax: 519 725 0160
Email: puremath@uwaterloo.ca
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.