January 2020

Tuesday, January 7, 2020 — 10:00 to 10:00 AM EST

Hongdi Huang, Department of Pure Mathematics, University of Waterloo

In this very kick-off talk, we will go through section 1.1. We aim to recall/learn some basic notions of manifolds with boundary and orientations, and Morse functions in the section. We also introduce the slightly nonstandard notion of in-boundary and out-boundary, which is particularly convenient for the treatment of cobordisms. Besides, we will take about the outline and the goals of this seminar.

MC 5417

Tuesday, January 7, 2020 — 11:00 to 11:00 AM EST

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

Monday, January 13, 2020 — 4:00 PM EST

Dimitris Koukoulopoulos, Université de Montréal

"Approximating reals by rationals"

Tuesday, January 14, 2020 — 10:00 to 10:00 AM EST

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

Tuesday, January 14, 2020 — 10:30 to 10:30 AM EST

Wilson Poulter, Department of Pure Mathematics, University of Waterloo

"NIP IX, take 2"

We continue section 3.2 of Simon's Guide to NIP theories.

M3 3103

Tuesday, January 14, 2020 — 11:00 to 11:00 AM EST

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

Tuesday, January 14, 2020 — 1:30 PM EST

Dimitris Koukoulopoulos, Université de Montréal

"On the Duffin-Schaeffer conjecture"

Monday, January 20, 2020 — 4:00 PM EST

Igor Shparlinski, University of New South Wales

"Integers of prescribed arithmetic structure in residue classes"

Tuesday, January 21, 2020 — 10:00 to 10:00 AM EST

Andrej Vukovic, Department of Pure Mathematics, University of Waterloo

This week, we continue to study the cobordism and introduce the definition of Topological quantum field theories.

MC 5417

Tuesday, January 21, 2020 — 10:30 to 10:30 AM EST

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

Tuesday, January 21, 2020 — 11:00 to 11:00 AM EST

Aidan Patterson, Department of Pure Mathematics, University of Waterloo

"Thimm’s Trick and the Gelfand-Zeitlin System"

Tuesday, January 21, 2020 — 1:30 PM EST

Anup Dixit, Queen's University

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

Tuesday, January 21, 2020 — 2:00 PM EST

Luke MacLean, Department of Pure Mathematics, University of Waterloo

"Reverse Mathematics"

Different forms of Ramsey's Theorem will be discussed with a focus on their reverse mathematical strength. Tools from computability theory such as PA degrees will be used.

MC 5413

Wednesday, January 22, 2020 — 2:30 PM EST

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

Wednesday, January 22, 2020 — 3:30 PM EST

Alex Chirvasitu, University of Buffalo

"Loosely embeddable metric spaces"

Embedding finite metric spaces isometrically into Hilbert spaces has elicited some interest outside of pure mathematics due to applications to fields like computer vision, machine learning, the structure of networks and other such areas.

Friday, January 24, 2020 — 2:30 PM EST

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

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