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
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
Thomas Brazelton, University of Pennsylvania
"Equivariant enumerative geometry"
Jason Crann, Carleton University
"Values of quantum non-local games"
Matilde Lalin, University of Montreal
"Sums of the divisor function and random matrix distributions"
The divisor function gives the number of positive divisors of a natural number. How can we go about understanding the behavior of this function when going over the natural numbers? In this talk we will discuss strategies to better understand this function, issues related to the distribution of these values, and connections to the Riemann zeta function and some groups of random matrices.
MC 5501
Javier González Anaya, University of California at Riverside
"Blow-ups of weighted projective planes at a point: Exploring the parameter space of triangles and the MDS property"