Talk #1: (1:00pm-2:00pm)
Amanda Petcu
"The $G_2$ Laplacian flow and Laplacian solitons"
Talk #1 Valentio Iverson: Powerfree Sieve on Prime Inputs
Abstract: In recent years, there have been several results on the density of integer tuples (a_1,...,a_n) such that f(a_1,...,a_n), for some fixed integer polynomial f, is squarefree. In this talk, we restrict to the case of prime inputs and prove similar results.
Talk #2 Gian Sanjaya: Density of Restricted Polynomials with Squarefree Discriminant
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
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
Leo Jimenez, Department of Pure Mathematics, University of Waterloo
"Restricted Zilber Trichotomy"
We continue to read Ben Castle’s paper.
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
Jesse Madnick, University of Oregon
"Cohomogeneity-One Lagrangian Mean Curvature Flow"
In C^n, mean curvature flow preserves the class of Lagrangian submanifolds, a fact known as "Lagrangian mean curvature flow" (LMCF). As LMCF typically forms finite-time singularities, it is of interest to understand the blowup models of such singularities, as well as the soliton solutions.
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
Erik Seguin, Department of Pure Mathematics, University of Waterloo
"Haagerup's noncommutative Grothendieck inequality (cont. cont.)"
We will continue^2 to prove things related to and on the subject of the NCG theorem. Possibly we will finish the proof of the theorem this week, and possibly not; we conjecture that no third option exists, but we are unable to prove this claim at present. Time permitting, we may attempt to prove this rigorously; this attempt is unlikely to be successful, veracity of the claim notwithstanding.