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Thursday, August 20, 2026 10:30 am - 12:00 pm EDT (GMT -04:00)

Algebraic Geometry Working Seminar | Kaleb Ruscitti | SAGBI basis for quiver semi-invariants using linked tableaux

Kaleb Ruscitti (University of Waterloo)

SAGBI basis for quiver semi-invariants using linked tableaux

There is a well-known construction of a SAGBI basis for the co-ordinate ring of a Grassmannian that is described using semi-standard young tableaux. Kalashnikov and Heuberger generalized parts of this theory to arbitrary moduli spaces of quiver representations by introducing linked tableaux sets, and then used these to describe a SAGBI basis for the semi-invariants of the Kronecker quiver. In this talk I will discuss the further extension of this theory to provide a SAGBI basis for any acyclic quiver, indexed by the semi-standard linked tableaux sets of an associated bipartite quiver.

From 10:30-11:00 there will be a pre-seminar where we go over Young Tableaux and their relationship to semi-invariants of the Grassmannian.

MC 5403

Friday, August 21, 2026 4:00 pm - 5:30 pm EDT (GMT -04:00)

Master's Thesis Presentation | Lilian Gardner | The exotic II_1 factor

Lilian Gardner (University of Waterloo)

The exotic II_1 factor

In https://arxiv.org/abs/2209.10645, Chifan Ioana and Kunnawalkam Elayavalli construct a separable II_1 factor without property Gamma and which is not elementarily equivalent to any II_1 factor with positive 1-bounded entropy (e.g. free group factors). We present the construction of this II_1 factor.

MC 5403

Wednesday, September 9, 2026 10:30 am - 11:30 am EDT (GMT -04:00)

Birational Geometry Learning Seminar | Kaleb D Ruscitti | Planning & Introduction

Kaleb D Ruscitti (University of Waterloo)
Planning & Introduction
In this seminar we will learn about birational geometry, singularity theory and the minimal model program, following the textbook of Kollar and Mori.
This week's seminar will be to assess interest, introduce the subject material and plan the rest of the term's seminars.
MC 5301
Wednesday, September 16, 2026 2:30 pm - 3:30 pm EDT (GMT -04:00)

Pure Mathematics Colloquium | Yasuyuki Kawahigashi | Operator algebras, conformal field theory and condensed matter physics

Yasuyuki Kawahigashi (University of Tokyo)

Operator algebras, conformal field theory and condensed matter physics

We present an operator algebraic approach to conformal field theory in connection to other topics such as vertex operator algebras, quantum groups and quantum invariants in low-dimensional topology, which started with subfactor theory of Jones. We then present recent advances on similar mathematical structures that appear in two-dimensional condenses matter physics such as quantum spin systems, tensor networks and topological quantum computation. No knowledge on operator algebras are assumed.
MC 5479
Thursday, September 17, 2026 1:30 pm - 3:00 pm EDT (GMT -04:00)

Computability Learning Seminar | Joey Lakerdas-Gayle | The Game Metatheorem

Joey Lakerdas-Gayle (University of Waterloo)
The Game Metatheorem
The Game Metatheorem is a framework for constructing computable structures as a game between players using noncomputable \(\Delta^0_\eta\) information for a transfinite ordinal \(\eta\). We will introduce the Game Metatheorem following Montalbán's second computable structure theory book, and use it to prove the pairs of structures theorem.
MC 5301
Thursday, September 17, 2026 3:00 pm - 4:00 pm EDT (GMT -04:00)

Model Theory Seminar | Yutong Duan | Strongly Minimal Sets in DCF_0

Yutong Duan (University of Waterloo)

Strongly Minimal Sets in DCF_0

We introduce the theory of differentially closed fields of characteristic zero (DCF_0) and the pregeometry associated with minimal types, and explain how strong minimality connects questions about ordinary differential equations with model theory.

MC 5403