Events

Aahan Chatterjee, Department of Pure Mathematics, University of Waterloo

"On Freimann’s Theorem"

We discuss a proof of Freimann’s Theorem that states :

If A is a set of integers for which there is a set B such that |A|=|B| and |A+B| is at most C|A|, then there are constants d and S such that A is contained in a Generalized Arithmetic Progression of dimension at most d and size at most S|A|.

This seminar will be held both online and in person:

Lucia Martin Merchan, Department of Pure Mathematics, University of Waterloo

"Formality of Joyce's manifolds (Part 2)"

Andrei Teleman, Aix-Marseille University

"Moduli spaces of holomorphic bundles framed along a real hypersurface"

Luke MacLean, Department of Pure Mathematics, University of Waterloo

"Computability-Theoretic Properties of Superatomic Boolean Algebras"

Robert Harris, Department of Pure Mathematics, University of Waterloo

"Constructing paper numbers and other applications of folds"

George Domat, Rice University

"Big Mapping Class Groups in Dimensions 0, 1, and 2"

Robert Cornea, Department of Pure Mathematics, University of Waterloo

"A proof of a Kobayashi-Hitchin correspondence for Vafa-Witten bundles, Part 1"

In this talk we start with a theorem that states that if a Vafa-Witten pair (E,φ) over a Kähler surface is polystable is there exists a unique Hermitian metric on E that satisfies the Vafa-Witten equations. We will discuss the details of this theorem and give a proof of it due to Yuuji Tanaka.

MC 5403

Andrej Vukovic, Department of Pure Mathematics, University of Waterloo

"Perfectoid Spaces, Diamonds, and Applications"

I explain Peter Scholze's concepts of perfectoid spaces and diamonds, then describe some applications to the Langlands program.

This seminar will be held both online and in person:

• Room: MC 5403
• Zoom link: https://uwaterloo.zoom.us/j/93854787866?pwd=YjVzZXVyamhobjFMdS9YTlZoZzhvUT09

Gwyneth Moreland, Harvard University

"Nef and effective cones of the Hilbert scheme of 3 points in $\mathbb{P}^3$"

We compute some higher (co)dimension nef and effective cones of the Hilbert scheme of 3 points in $\mathbb{P}^3$. This involves studying the orbits of the PGL action on the Hilbert scheme, as well as extending Mallavibarrena and Sols' bases for the Chow groups of Hilbert schemes of points on $\mathbb{P}^2$ to the case of the Hilbert scheme of 3 points in $\mathbb{P}^3$. This work builds on results of Ryan and Stathis.

Russell Miller, City University of New York

"Computability and the absolute Galois group of $\mathbb Q$"