Joey Lakerdas-Gayle, Department of Pure Mathematics, University of Waterloo
"Effectively closed sets -- Part II"
Jeremy Hume, University of Glasgow
"The K-theory of a rational function"
This semester there will be a reading seminar on Riemann Surfaces. We'll be using Simon Donaldson's book as a reference.
These seminars are pretty accessible as the only hard pre-requisite is some Complex Analysis. Donaldson's exposition is also especially good as he gives a lot of focus on intuition and examples.
The aim of the seminar is to go through the whole book. One chapter each week. Though, we will slow down if we need to.
Dmitry Ryabogin, Kent State University
"On bodies floating in equilibrium in every orientation"
We give a negative answer to Ulam's Problem 19 from the Scottish Book asking is a solid of uniform density which will float in water in every position a sphere? Assuming that the density of water is 1, we show that there exists a strictly convex body of revolution K\subset {\mathbb R^3} of uniform density \frac{1}{2}, which is not a Euclidean ball, yet floats in equilibrium in every orientation.
MC 5501
Owen Sharpe, Department of Pure Mathematics, University of Waterloo
"Diophantine Techniques in Bourgain's Discrete Restriction Conjecture"
We continue the last talk about Bourgain's discrete restriction conjecture, and explain the Diophantine techniques used in the recent progress on the conjecture by Hughes and Wooley.
This seminar will be held both online and in person:
Gianluca Basso, Université Lyon 1
"Kaleidoscopic groups and the generic point property"
Hanming Liu, Department of Pure Mathematics, University of Waterloo
"Heegaard Floer Homology"
This will be an introduction to Heegaard Floer homology. We will aim to present its definition and state some topological applications.
MC 5403
Debanjana Kundu, University of Toronto
"Heuristics for anti-cyclotomic $\mathbb{Z}_p$-extensions"
For an imaginary quadratic field, there are two natural $\mathbb{Z}_p$-extensions, the cyclotomic and the anticyclotomic. We'll start with a brief description of Iwasawa theory for the cyclotomic extensions, and then describe some computations for anticyclotomic $\mathbb{Z}_p$ extensions, especially the fields and their class numbers. This is joint work with LC Washington.
This seminar will be held both online and in person
Changho Han, Department of Pure Mathematics, University of Waterloo
"Brief Introduction to General MMP"
Before we dive into the less ventured area of horospherical MMP, it would be nice to first understand how the general MMP works in order to prove MMP results in horospherical settings. In that regard, I will present some motivations behind the definition of MMP singularities, and give a general overview of the general MMP.
This seminar will be held jointly online and in person:
Leo Jimenez, Department of Pure Mathematics, University of Waterloo
"Not pfaffian"
James Freitag has shown that the j-function is not Pfaffian using the model theory of differentially closed fields. We will work though his paper, entitled "Not pfaffian".
MC 5417