Events

Justin Laverdure, Department of Pure Mathematics, University of Waterloo

"Scheme-theoretic image"

We define the scheme theoretic image of a morphism of schemes, and see that under either of two assumptions (quasicompact morphism or reduced source), the image can be computed affine-locally. We will, of course, also see examples where this cannot be done.

MC 5417

Antonio Montalban, University of California - Berkeley

"Infinite Games"

Infinite two-player games have been a very useful tool to prove many results in logic and other areas. What makes them fascinating to computability theorists is that winning strategies can be extremely complex even for simple games.

Diana Castaneda-Santos, Department of Pure Mathematics, University of Waterloo

"Fibered products"

In this talk we will define fibered products of schemes and study some examples. We will see how their universal property gives us a nice description of the fibered product of affine schemes in terms of the affine scheme of a tensor product of rings. We will study four types of morphisms (open embeddings, adding variables, closed embeddings, and localization) that will give us tools to calculate fibered products of arbitrary schemes.

MC 5417

J.C. Saunders, Department of Pure Mathematics, University of Waterloo

"Problems in Combinatorial and Analytic Number Theory"

Karl Dilcher, Dalhousie University

"Zeros and irreducibility of gcd-polynomials"

Daniel Pepper, Department of Pure Mathematics, University of Waterloo

We will continue the study of how to do stochastic integration against the free Brownian motion.  This talk will focus on the integration of "simple adapted bi-processes", with emphasis on properties which will allow us later on to go beyond the "simple" case.

[Please note the starting time of 2:30 pm, different from the one of the preceding talk in this seminar.]

M3 3103

As part of the Faculty of Mathematics Recognizing Excellence Series, Anand Pillay (2018 Honorary Doctorate recipient) will be presenting a discussion entitled "Logic, Mathematics and Culture." Anand will discuss a brief history of mathematical logic, and some personal perspectives on working in mathematics.

Please see https://uwaterloo.ca/math/events/recognizing-excellence-series-0 for the complete series schedule.

David Urbanik, Department of Pure Mathematics, University of Waterloo

"Abstract Nonsense in Algebraic Geometry"

We explain how the language of category theory can be used to clarify certain ideas in algebraic geometry, with a particular emphasis on the role of universal properties and the Yoneda Lemma. We will connect this to our discussion of fibre products from last time.

MC 5417

Anand Pillay, University of Notre Dame

"Combinatorics and pseudofinite groups"

In this joint work with Conant and Terry we prove some Szemeredi-type theorems in the context of finite groups equipped with a distinguished subset, using model-theoretic tools.

MC 5479

Ignacio Garcia, Universidad Nacional de Mar del Plata and CONICET

​"Assouad dimension of self-similar sets with overlaps in R^d"