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"
Paul Cusson, Department of Pure Mathematics, University of Waterloo
"Holomorphic maps between Riemann surfaces"
Amador Martin-Pizarro, University of Freiburg
"Simplicity of the automorphism group of fields with operators"
Sean Monahan, Department of Pure Mathematics, University of Waterloo
"Contracting rays in NE(X) for horospherical X"
I will continue with section 3 of Brion’s paper “Variétés sphériques et théorie de Mori”. This time we will start to see how contracting extremal rays of NE(X) affects the coloured fan of X.
This seminar will be held jointly online and in person:
Jenny Xu, Department of Pure Mathematics, University of Waterloo
"An Invitation to Model-Theoretic Galois Theory (Part I)"