Thomas Walpuski, MIT - Massachusetts Institute of Technology
“G2instantons over twisted connected sums”
Safoura Jafar-Zadeh, University of Manitoba
“Isometric Isomorphisms of Beurling Algebras Associated with Locally Compact Groups”
Alberto García-Raboso, University of Toronto
"A twisted nonabelian Hodge correspondence"
The classical nonabelian Hodge correspondence establishes an equivalence between certain categories of flat bundles and Higgs bundles on smooth projective varieties. I will describe an extension of this result to twisted vector bundles. No prior knowledge of the above topics will be assumed: come one, come all! There will be pancakes too.
Chantal David, Concordia University
“Zeroes and Zeta Functions and Symmetry: One level density for families of L-functions attached to elliptic curves”
Jason Bell, Department of Pure Mathematics, University of Waterloo
"Approximate Groups: IX"
We continue to follow van den Dries’ Seminaire Bourbaki article entitled "Approximate Groups [after Hrushovski, and Breuillard, Green, Tao]". The subject involves the interaction of additive combinatorics and model theory.
Ian Payne, Department of Pure Mathematics, University of Waterloo
“A CSP algorithm and some work towards a better one”
Michael Deveau, Department of Pure Mathematics
"Weak König's Lemma over RCA_0"
Since the addition of Konig's Lemma to RCA_0 presented last time proved to be too strong, we will next investigate the addition of Weak Konig's Lemma to RCA_0. To show that this will have strength strictly between RCA_0 and ACA_0, we will spend some time discussing the PA degrees, including an important application of the Low Basis Theorem.
Kamyar Moshksar, Pure Mathematics, University of Waterloo
"Decentralized Communications Networks"
After a brief introduction to the concept of channel capacity and reliable transmission over noisy environments, we focus on a class of interference channels known as decentralized networks. By definition, these are networks with no central controller or direct coordination among existing parties. We show how separate transmitter-receiver pairs learn about the parameters in the underlying affine system model and discuss fundamental limits of communication in this framework.
Geoffrey Scott, University of Toronto
“Integrable Systems on Log-Symplectic Manifolds”
Jaspar Wiart, Department of Pure Math, University of Waterloo
“Operator algebras arising from number theory.”