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Hanming Liu, Department of Pure Mathematics, University of Waterloo

"Morse Homology"

I will talk about the construction of the Morse complex and consequently, Morse homology.

M3 - 4206

Talk #1 (1:00pm–2:30pm)

Lucia Martin Merchan, University of Waterloo
“A compact closed G2 manifold with b1 = 0”

Francisco Villacis, Department of Pure Mathematics, University of Waterloo

"GIT Quotients, Part II"

I will continue my previous talk on GIT quotients. I will focus on projective GIT quotients and then discuss the Kempf-Ness theorem, which relates the symplectic reduction of smooth complex projective varieties to GIT quotients.

MC 5479

Zoom link:  https://uwaterloo.zoom.us/j/94942581597?pwd=cWhzelpQWXBVakkrZUVWVkFhMmV1dz09

Leo Jimenez, Department of Pure Mathematics, University of Waterloo

"Restricted Zilber Trichotomy"

We continue to read Ben Castle’s paper.

MC 5479

Joey Lakerdas-Gayle, Department of Pure Mathematics, University of Waterloo

"Reverse Math - VI"

In this talk, we will be presenting material from a recent book by Damir Dzhafarov and Carl Mummert. In particular, we will begin Chapter 5, studying subsystems of second order arithmetic.

MC 5403

Florin Pop, Wagner College

"Detecting certain properties of C*-algebras"

A C*-algebra $A$ is said to detect a certain property $\mathcal{P}$ (or is a $\mathcal{P}$-detector) if, for any C*-algebra $B$, we have $A\otimes_{\min}B=A\otimes_{\max}B$ is and only if $B$ has property $\mathcal{P}$.  In this talk we will survey several properties that can be detected, as well as present the algebras which play the detector's part.

MC 5479

Cynthia Dai, Department of Pure Mathematics, University of Waterloo

"Properties of Schemes"

We will talk about some properties of schemes, including possibly integral, separated, and proper, if time permits.

MC 5403

Hanming Liu, Department of Pure Mathematics, University of Waterloo

"Proof of Smale's Theorem"

I will present the proof of Smale's theorem about the existence of gradient-like vector fields satisfying the Smale condition.

M3 4206

Eric Boulter, Department of Pure Mathematics, University of Waterloo

"Spectral curves and the Hitchin system"

I will give an overview of how spectral curves are constructed in the context of Higgs bundles, and discuss how they are used in the study of the Hitchin system.

MC 5479

Zoom link: https://uwaterloo.zoom.us/j/94942581597?pwd=cWhzelpQWXBVakkrZUVWVkFhMmV1dz09

Talk #1: (1:00pm-2:00pm)

Amanda Petcu

"The $G_2$ Laplacian flow and Laplacian solitons"