Rachael Alvir, Department of Pure Mathematics, University of Waterloo
"Scott Complexity"
Sean Monahan, Department of Pure Mathematics, University of Waterloo
"Introduction to horospherical varieties"
We will begin the seminar with an introduction to horospherical varieties. In this talk we will define horospherical varieties, and we will (at least start to) discuss their “colours”.
This seminar will be held jointly online and in person:
Andy Zucker, Department of Pure Mathematics, University of Waterloo
"Polish partition principles and the Halpern-Lauchli theorem"
Xiao Zhong, Department of Pure Mathematics, University of Waterloo
"$p$-Adic interpolation of orbits under rational maps"
Rivera-Letelier’s characterization of possible analytic uniformizations of $p$-adic analytic maps has played an important role within arithmetic dynamics over the past fifteen years. The characterization is given by a trichotomy of indifferent, attracting and superattracting cases near a fixed point of a map.
Benoit Charbonneau, Department of Pure Mathematics, University of Waterloo
"Hyperkähler structure of bow varieties"
My aim is to discuss some of the background material necessary to understand the recent paper of Roger Bielawski, Yannic Borchard, and Sergey Cherkis titled “Deformations of instanton metrics” (https://arxiv.org/abs/2208.14936).
MC 5403
Jerry Wang, Department of Pure Mathematics, University of Waterloo
"An improvement to the Schmidt bound"
Counting number fields of fixed degree and bounded discriminant is a classical question in arithmetic statistics. The problem is known in degrees at most 5. In this talk, we will talk about an improvement to Schmidt's upper bound for general degree n, which beats existing improvements for n up to 94. This is joint work with Manjul Bhargava and Arul Shankar.
This seminar will be held jointly online and in person:
Sean Monahan, Department of Pure Mathematics, University of Waterloo
"Colours of horospherical varieties"
We are continuing with the basics of horospherical varieties. In this talk I plan to discuss colours of horospherical varieties, and we will start to see their role in the combinatorial description of horospherical varieties.
This seminar will be held jointly online and in person:
Izar Alonso Lorenzo, Oxford University
"Balanced SU(3)-structures and coclosed $G_2$-structures in cohomogeneity one manifolds"
Yuming Zhao, Department of Pure Mathematics, University of Waterloo
"Positivity and sum-of-squares"
Sourabh Das, Department of Pure Math, University of Waterloo
"On the Omega function"