Thomas Brazelton, University of Pennsylvania
"Equivariant enumerative geometry"
Jason Crann, Carleton University
"Values of quantum non-local games"
Matilde Lalin, University of Montreal
"Sums of the divisor function and random matrix distributions"
The divisor function gives the number of positive divisors of a natural number. How can we go about understanding the behavior of this function when going over the natural numbers? In this talk we will discuss strategies to better understand this function, issues related to the distribution of these values, and connections to the Riemann zeta function and some groups of random matrices.
MC 5501
Spiro Karigiannis, Department of Pure Mathematics, University of Waterloo
"The geometry of G2 manifolds: a marriage of non-associative algebra and non-linear analysis"
Michael Rubinstein, Department of Pure Mathematics, University of Waterloo
"Differential equations related to averages of the k-th divisor function"
Keating, Rodgers, Roditty-Gershon, and Rudnick have given a conjecture for the asymptotic behaviour of the mean square of sums of the $k$-th divisor numbers over short intervals, and have proven formulas for the analogous problem over $\mathbb{F}_q[t]$. I will discuss their work and describe determinantal and differential equations related to their formulas.
Luke MacLean, Department of Pure Mathematics, University of Waterloo
"Effectively closed sets - Part V"
An effectively closed set (or $\Pi^0_1$ class) in Baire space $\omega^\omega$ is the set $[T]$ of infinite branches through a computable tree $T$. This semester in the computability seminar, we will be studying $\Pi^0_1$ classes from Cenzer \& Remmel's textbook. This week we will continue proving basis theorems and take a brief detour into Martin-Lof randomness.
MC 5403
Christine Eagles, Department of Pure Mathematics, University of Waterloo
"A Note on Geometric Theories of Fields"
Will Johnson and Jinhe Ye have shown equivalence conditions on expansions of very slim fields, strongly geometric fields and algebraically bounded fields. As a consequence, we get a one-cardinal results for definable sets and positive dimensional interpretable set. We will work though this paper, entitled "A Note on Geometric Theories of Fields".
MC 5417
Patrick Ingram, York University
"Variation of canonical heights in arithmetic dynamics"
Matthew Satriano, Department of Pure Mathematics, University of Waterloo
"Toric MMP"
I will discuss the minimal model program for toric varieties.
This seminar will be held jointly online and in person:
Camila Sehnem, Department of Pure Mathematics, University of Waterloo
"C*-envelopes and semigroup C*-algebras"