Events - January 2020

Ragini Singhal, Department of Pure Mathematics, University of Waterloo

"Deformation theory of nearly G_2 manifolds - 2"

In this talk we will prove some results about the cohomology of nearly G_2 manifolds which we will use to define the space of first order deformation of a nearly G_2 structure. We will then prove that it is an eigenspace of the Laplace operator. Time permitting we will also define the second  order deformations and their formulation. This talk is based on a joint work in progress with Shubham Dwivedi.

MC 5413

Partrick Naylor, Department of Pure Mathematics, University of Waterloo

"The category of cobordisms"

In this talk, we’ll discuss how n-manifolds considered up to cobordism form a category, as well as some of the subtleties involved.

MC 5417

Xi Sisi Shen, Northwestern University

"Estimates for metrics of constant Chern scalar curvature"

We discuss the existence problem of constant Chern scalar curvature metrics on a compact complex manifold. We prove a priori estimates for these metrics conditional on an upper bound on the entropy, extending a recent result by Chen-Cheng in the K\"ahler setting.

MC 5403

Matt Satriano, Department of Pure Mathematics, University of Waterloo

"Introduction to Valuative Trees and its connection with dynamics"

We will review where we left off last term, highlighting the main results concerning valuative trees and the role they play in Junyi Xie's proof of the Medevdev-Scanlon Conjecture for the affine plane.

MC 5403

Anup Dixit, Queen's University

"On Ihara's conjecture and the localized Erdos-Kac theorem"

Christopher Hawthorne, Department of Pure Mathematics, University of Waterloo

"NIP X"

We continue section 3.3 of Simon's Guide to NIP theories.

M3 3103

Igor Shparlinski, University of New South Wales

"Integers of prescribed arithmetic structure in residue classes"

Shubham Dwivedi, Department of Pure Mathematics, University of Waterloo

"Deformation theory of nearly G_2 manifolds"

I will start by describing nearly G_2 manifolds and the infinitesimal deformations of nearly G_2 structures. I will describe the results of Alexandrov and Semmelmann on the deformations of nearly G_2 structures and will give a different proof of their result by using a modified Dirac operator. 

MC 5413

Andrej Vukovic, Department of Pure Mathematics, University of Waterloo

This week, we continue our study of topological quantum field theories by discussing Morse theory and introducing the notion of cobordism.

MC 5417

There will be an organizational meeting of the Geometry Working Seminar on Tuesday, January 7, 2020, at 11:00 am in MC 5413.