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
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Junliang Shen, MIT
"The P=W conjecture and hyperKähler 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 hyperKaehler geometries. Such connections shed new light on both the P=W conjecture for Hitchin systems and the Lagrangian base conjecture for compact hyperKähler manifolds.
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 4dimensional Poincare conjecture, one of the most important questions in 4manifold topology.
A postcolloquium meet and greet will be held at 2:00 pm using the same Zoom meeting link.
Elana Kalashnikov, Harvard University
"Quiver flag varieties and mirror symmetry"
Mani Thamizhazhagan, Department of Pure Mathematics, University of Waterloo
"On the interplay of harmonic analysis, combinatorics, additive number theory and ergodic theory"
Daren Cheng, Department of Pure Mathematics, University of Waterloo
"Stable minimal surfaces in R4"
Alex Weekes, University of British Columbia
"Nilpotent orbits and affine Grassmannians"
Caleb Suan, Department of Pure Mathematics, University of Waterloo
"Differential Operators on Manifolds with $G_2$Structure"
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 postcolloquium meet and greet will be held at 2:00 pm using the same Zoom meeting link.
Florian Richter, Northwestern University
"Applications of Ergodic Theory to Combinatorics and Number Theory"
Eric Boulter, Department of Pure Mathematics, University of Waterloo
"Smooth and Compact Moduli Spaces of Sheaves on Kodaira Surfaces"
Departmental office: MC 5304
Phone: 519 888 4567 x43484
Fax: 519 725 0160
Email: puremath@uwaterloo.ca
The University of Waterloo acknowledges that much of our work takes place on the traditional territory of the Neutral, Anishinaabeg and Haudenosaunee peoples. Our main campus is situated on the Haldimand Tract, the land granted to the Six Nations that includes six miles on each side of the Grand River. Our active work toward reconciliation takes place across our campuses through research, learning, teaching, and community building, and is centralized within our Office of Indigenous Relations.