Paul Cusson, Department of Pure Mathematics, University of Waterloo
"Holomorphic maps between Riemann surfaces"
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
**THIS SEMINAR HAS BEEN POSTPONED TO FEBRUARY 28, 2023**
Paul Cusson, Department of Pure Mathematics, University of Waterloo
"Holomorphic maps between Riemann surfaces"
Rachael Alvir, Department of Pure Mathematics, University of Waterloo
"Scott Complexity"
Robert Cornea, Department of Pure Mathematics, University of Waterloo
"A basic Introduction to Higgs Bundles and Vafa-Witten Bundles"
Jeremy Champagne, Department of Pure Mathematics, University of Waterloo
The intent of this seminar is to cover some of the basic theory of elliptic curves. Our first objective is to cover chapters 2, 3 and 6 from Joseph Silverman’s book (The Arithmetic of Elliptic Curves). Later in the semester, we will switch our focus towards more specific topics in the theory of elliptic curves.
MC 5403
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
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:
J.C. Saunders, Middle Tennessee State University
"The Euler Totient Function on Lucas Sequences"
Thomas Brazelton, University of Pennsylvania
"Equivariant enumerative geometry"