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"
Amanda Petcu, Department of Pure Mathematics, University of Waterloo
"A History of Women in Math"
Xingchi Ruan, Department of Pure Mathematics, University of Waterloo
"Singular Series in the Hilbert-Kamke Problem"
The Hilbert-Kamke problem is a well-known problem in number theory. It looks for the solubility of a certain type of system of equations. We talk about how the singular series will provide solubility to the Hilbert-Kamke problem, and we will find a lower bound of the number of variables to ensure the sum of the singular series is positive.
MC 5403
Robert Cornea, Department of Pure Mathematics, University of Waterloo
A basic Introduction to Higgs Bundles and Vafa-Witten Bundles, Part Two
Jenny Xu, Department of Pure Mathematics, University of Waterloo
"An Invitation to Model-Theoretic Galois Theory (Part I)"
Gian Cordana Sanjaya, Department of Pure Mathematics, University of Waterloo
"Elliptic Curves"
We switch our discussion to elliptic curves over finite fields. We prove Hasse’s bound and Weil conjecture, and we discuss more structures on elliptic curves over finite fields.
MC 5403
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:
Jintao Deng, Department of Pure Mathematics, University of Waterloo
"The K-theory of relative group C*-algebras"
Amador Martin-Pizarro, University of Freiburg
"Simplicity of the automorphism group of fields with operators"
Scott Wilson, City University of New York
"Homotopical obstructions to the existence of certain complex structures on smooth manifolds"