Events - 2020

Friday, February 7, 2020 — 10:00 AM EST

Note: Special time and room

Sergey Cherkis, University of Arizona

"Compactification of Monopole Moduli Spaces"

Monopole's dynamic is well approximated by the geodesic motion on its moduli space.  This provided the initial motivation for studying monopole moduli spaces.  Recently, these spaces acquired new significance as they deliver numerous examples of gravitational instantons and of spaces of vacua of quantum field theories.  In this light the L2 cohomology of these spaces is particularly important.

Thursday, February 6, 2020 — 4:30 PM EST

Benjamin Anderson-Sackaney, Department of Pure Mathematics, University of Waterloo

"Honeycombs and the Horn Problem"

Wednesday, February 5, 2020 — 2:30 PM EST
Andrej Vukovic, Department of Pure Mathematics, University of Waterloo
 
"Potential Theory for Metric Trees"
 
We discuss potential theory for general metric trees and explain how to apply it in our study of the valuative tree.
 
MC 5403
Tuesday, February 4, 2020 — 1:30 PM EST
Stanley Xiao, University of Toronto
    
"The density of power-free values of polynomials"
    
In this talk we show that any polynomial $F(x_1, \cdots, x_n)$ with integer coefficients and degree $d \geq 3$ and which satisfy basic necessary conditions take on the expected density of $k$-free values, provided that $k \geq \min\{d-1, 3d/4\}$. This generalizes results of Hooley and Browning, who showed the same result with $n = 1$. This is joint work with K. Lapkova. 
 
Tuesday, February 4, 2020 — 11:00 AM EST
Eric Boulter, Department of Pure Mathematics, University of Waterloo
    
"Vector Bundles on Non-Kähler Elliptic Fibre Bundles"
    
In this talk we will discuss non-Kähler complex surfaces which occur as elliptic fibre bundles, and some invariants of holomorphic vector bundles on these surfaces.
 
Tuesday, February 4, 2020 — 10:00 AM EST

Patrick Naylor, Department of Pure Mathematics, University of Waterloo

“The category of cobordisms (Part II)”

We will continue to discuss the category of cobordisms, along with more examples.

MC 5417

Friday, January 31, 2020 — 3:30 PM EST

Guy Salomon, Department of Pure Mathematics, University of Waterloo

"The mysterious connection between proximal actions and Poisson boundaries"

Friday, January 31, 2020 — 2:35 PM EST

Andrew Staal, Department of Pure Mathematics, University of Waterloo

"Ubiquity of Smooth Hilbert Schemes"

Tuesday, January 28, 2020 — 11:00 AM EST

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

Tuesday, January 28, 2020 — 10:30 AM EST

Rahim Moosa, Department of Pure Mathematics, University of Waterloo

"NIP XI"

We continue section 3.4 of Simon's Guide to NIP theories.

M3 3103

Tuesday, January 28, 2020 — 10:00 AM EST

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

Monday, January 27, 2020 — 11:30 AM EST

Brett Nasserden, Department of Pure Mathematics, University of Waterloo

"Introduction to Arakelov Theory"

I will introduce the basic concepts of Arakelov theory with a focus on arithmetic surfaces.

MC 5417

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

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.

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

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

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 — 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 — 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 — 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

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 14, 2020 — 1:30 PM EST

Dimitris Koukoulopoulos, Université de Montréal

"On the Duffin-Schaeffer conjecture"

Tuesday, January 14, 2020 — 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 — 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 — 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

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