Ross Willard, Department of Pure Mathematics, University of Waterloo
"Boolean algebras, Part 3"
I’ll explain the tight relationship between Boolean algebras and Stone (or Boolean) topological spaces.
MC 5479
Sam Harris, Department of Pure Mathematics, University of Waterloo
"Connes' embedding problem and quantum XOR games"
Michael Bailey, Department of Pure Mathematics, University of Waterloo
"Newlander-Nirenberg type theorems in unusual geometries"
Certain local structure results in generalized complex geometry may be seen as a (work-in- progress) much-more-general Newlander-Nirenberg theorem for stacks (or higher stacks/derived geometry).
MC 5403
Ehsaan Hossain, Department of Pure Mathematics, University of Waterloo
"Problems on sofic and hyperlinear groups"
Brett Nasserden, Department of Pure Mathematics, University of Waterloo
"Finiteness conditions of schemes"
To better understand the category of schemes I will explore finiteness properties that the morphisms between schemes may possess. In particular, affine, integral, and other finite type conditions will be examined. The lecture should be accessible to anyone with a basic understanding of scheme theory.
MC 5417
Peng-Jie Wong, University of Lethbridge
"Holomorphy of L-functions and its applications"
The analytic properties of L-functions have been one of the central topics in number theory as they have a deep connection with the distribution of primes. For example, the Riemann zeta function led to a proof of the celebrated prime number theorem. In general, for any number field, there are primes and L-functions of similar nature. In this talk, we shall discuss the holomorphy of such L-functions and its applications to the distributions of the associated primes.
Justin Laverdure, Department of Pure Mathematics, University of Waterloo
"The Hyperreals (Infinitesimals and the transfer principle)"
Nasir Sohail, Wilfrid Laurier University
"Ultraproducts and congruence distributive varieties - Part 1"
I shall go from (direct) product to ultraproduct using a particular congruence. The ultraproduct of a finite set of finite algebras will be considered as a special case.
MC 5479
Vern Paulsen, University of Waterloo
"Complexity and Capacity Bounds for Operator Systems and Quantum Channels"
Eli Shamovich, Department of Pure Mathematics, University of Waterloo
"Real Fibered Morphism and Definite Determinantal Representations"