Events

Rasul Shafikov, Western University

"Lagrangian embeddings, rational convexity, and approximation"

A celebrated theorem of Duval and Sibony characterizes rationally convex real submanifolds in complex Euclidean spaces as those isotropic with respect to a Kahler form. I will discuss how the results in symplectic geometry can be used to obtain some new results in the approximation theory.

MC 5417

Luke MacLean, Department of Pure Mathematics, University of Waterloo

"Effectively closed sets - Part V"

An effectively closed set (or $\Pi^0_1$ class) in Baire space $\omega^\omega$ is the set $[T]$ of infinite branches through a computable tree $T$. This semester in the computability seminar, we will be studying $\Pi^0_1$ classes from Cenzer \& Remmel's textbook. This week we will continue proving basis theorems and take a brief detour into Martin-Lof randomness.

MC 5403

Camila Sehnem, Department of Pure Mathematics, University of Waterloo

"C*-envelopes and semigroup C*-algebras"

Patrick Ingram, York University

"Variation of canonical heights in arithmetic dynamics"

Yash Totani, Department of Pure Mathematics, University of Waterloo

"Binary quadratic forms of class number 3"

Upon providing a historical overview of the theory of binary quadratic forms, we talk about the problem of representing positive integers by some specific binary quadratic forms. We will see how the theory of modular forms comes to our rescue.

MC 5403

J.C. Saunders, Middle Tennessee State University

"The Euler Totient Function on Lucas Sequences"

Rachael Alvir, Department of Pure Mathematics, University of Waterloo

"Scott Complexity"

**THIS SEMINAR HAS BEEN POSTPONED TO FEBRUARY 28, 2023**

Paul Cusson, Department of Pure Mathematics, University of Waterloo

"Holomorphic maps between Riemann surfaces"

Sean Monahan, Department of Pure Mathematics, University of Waterloo

"The effective cone for projective horospherical varieties"

I will start working through Brion’s paper “Variétés sphériques et théorie de Mori” on spherical MMP. Specifically, I plan to cover the first half of section 3, with emphasis on horospherical varieties. We should at least see what the cone NE(X) looks like for any projective horospherical variety X.

This seminar will be held jointly online and in person:

Christine Eagles, Department of Pure Mathematics, University of Waterloo

"A Note on Geometric Theories of Fields, Part II"

Will Johnson and Jinhe Ye have shown equivalence conditions on expansions of very slim fields, strongly geometric fields and algebraically bounded fields. As a consequence, we get a one-cardinal results for definable sets and positive dimensional interpretable set. We will work though this paper, entitled "A Note on Geometric Theories of Fields".

MC 5417