Events - March 2018

Matthias Nagel, McMaster University

"Triple linking numbers and surface systems"

We relate fillability of two link exteriors, and the question when two links admit homeomorphic surface systems to (a refinement of) Milnor’s triple linking numbers. This extends a theorem of Davis-Roth to include also links with non-vanishing linking numbers. This is joint work with C. Davis, P. Orson, and M. Powell.

MC 5403

Eli Shamovich, Department of Pure Mathematics, University of Waterloo

"Free Function Theory and Operator Algebras"

Arpita Kar, Queen's University

"On the normal number of prime factors of Ramanujan Tau function"

We will discuss various results concerning ω(τ(p)), ω(τ(n)), ω(τ(p+1)) where τ denotes Ramanujan Tau function and ω(n) denotes the number of prime factors of n counted without multiplicity. This is work in progress with Prof. Ram Murty.

MC 5417

Dilian Yang, University of Windsor

"Self-similar higher-rank graph C*-algebras"

Justin Laverdure, Department of Pure Mathematics, University of Waterloo

"Residually small varieties have no more than continuum-sized SIs"

We go over a proof of a result of Taylor's: that, in a countable signature, if a variety K has some bound on the size of its subdirectly irreducible algebras (a so-called "residually small" variety), then in fact this bound is at most the cardinality of the continuum.

MC 5479

Cam Marcott, Department of Combinatorics & Optimization, University of Waterloo

"What’s an amplituhedron?”

I'll introduce the amplituhedron, focusing on why the suffix "hedron" is justified.

MC 5501

Guhan Venkat, Laval University

"An integral Euler system for the Rankin-Selberg product of two supersingular modular forms"

Mizanur Rahaman, Department of Pure Mathematics, University of Waterloo

"Eventually Entanglement Breaking Maps"

Liron Speyer, University of Virginia

"Decomposable Specht modules"

I will give a brief survey of the study of decomposable Specht modules for the symmetric group and its Hecke algebra, which includes results of Murphy, Dodge and Fayers, and myself. I will then report on an ongoing project with Louise Sutton, in which we are studying decomposable Specht modules for the Hecke algebra of type B indexed by 'bihooks'.

MC 5403

Christopher Hawthorne, Department of Pure Mathematics, University of Waterloo

"Elimination theory and closed embeddings"

We finish chapter 7 with a discussion of quantifier elimination and the fundamental theorem of elimination theory; we then begin to study closed embeddings of schemes.

MC 5417