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.
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
Daniel Han, Department of Pure Mathematics, Univesity of Waterloo
"Derived functors and (co)homology theories"
We will give an overview of derived functors and their use to form homological invariants for objects in abelian categories. Using this abstract machinery, we will give rise to group cohomology, sheaf cohomology, and others. Lastly, the Eilenberg-Watts theorem will be presented to give a loose explanation as to why many of these cohomology groups are presented as Ext groups.
MC 5479
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