Patrick Naylor, Department of Pure Mathematics, University of Waterloo
"The category of cobordisms (Part III)"
We specialize to the 2-cobordism category, and work towards developing a set of generators and relations.
MC 5417
Spiro Karigiannis, Department of Pure Mathematics, University of Waterloo
"Bryant-Salamon G2 manifolds and coassociative fibrations"
Angelos Koutsianas, University of British Columbia
"Solving generalized Fermat equations with Frey hyperelliptic curves"
In this talk, I will talk about Darmon's program and the resolution of the generalized Fermat equation of signature (p,p,5) using Frey hyperelliptic curves. This is joint work with Imin Chen (Simon Fraser University).
MC 5417
Zhouli Xu, MIT
"In and around stable homotopy groups of spheres"
Hongdi Huang, Department of Pure Mathematics, University of Waterloo
This week, we will further talk about the generators and relations for 2Cob.
MC 5417
Alexi Taylor Block Gorman, University of Illinois at Urbana-Champaign
"Continuous Regular Functions: where automata theory meets metric geometry"
Andrew Staal, Department of Pure Mathematics, University of Waterloo
"Reducibility of Varieties of Commuting Matrices"
We will present some well-known results on reducibility of the varieties C(k,n) of commuting k-tuples of nxn-matrices. In particular, we will discuss the Motzkin—Taussky Theorem proving irreducibility of C(2,n) and Guralnick’s Theorem, which shows that C(3,n) is reducible when n ≥ 29.
MC 5413
Dino Rossegger, Department of Pure Mathematics, University of Waterloo
"Iterated Reflection principles and Feferman's Completeness Theorem"
Ehsaan Hossain, Department of Pure Mathematics, University of Waterloo
"Return Sets on Algebraic Varieties"
Brett Nasserden, Department of Pure Mathematics, University of Waterloo
"An introduction to the Laplacian operator on a metrized graph: Part 2"
We will continue our discussion of harmonic analysis on a finite metrized graph. The goal is to finish the introduction to the theory and go over some explicit examples.
MC 5403