Events

Talk #1: "The Lefschetz Theorem on (1,1) Classes" (Zhiyou Wu)

We will discuss and give a proof of a special case of the Hodge conjecture: that for a smooth projective manifold, every (1,1) cohomology class is analytic. We will require some results from Kähler geometry, such as the Hodge-Dolbeault decomposition, which will be stated and their proofs sketched. If time permits we will make further remarks about the general Hodge conjecture.

Omar Leon Sanchez, Department of Pure Mathematics, University of Waterloo

Title: NIP XIX

We will continue with the proof that the theory of algebraically closed valued fields has NIP. In the way we will talk about strongly dependent theories and dp-minimality.

Hun Hee Lee, Seoul National University

"Operator amenability of the $L^1$-algebra of a compact quantum group"

We consider the question of operator amenability of the $L^1$-algebra of a compact quantum group. In order to answer the question we instead look at a related concept of operator biflatness. The final result says for a
compact quantum group $G$, $L^1(G)$ is operator amenable if and only if $G$ is co-amenable and of Kac type, which excludes examples like

Chao Lin, Department of Pure Math, University of Waterloo

“Freiman’s Theorem - Part II”

For a set of numbers A, let the sum-set A + A denote {a1

Travis Li, University of Toronto

“Introduction to Lie groupoids and Lie algebroids”

In this talk, we give an introduction to Lie groupoids and Lie algebroids aimed at graduate students.

Songhao Li, University of Toronto

“Elementary modification of Lie algebroids and the blow-up construction of Lie groupoids”

We introduce the elementary modification of Lie algebroids and the corresponding blow-up construction of Lie groupoids. As applications, we construct the log tangent groupoids and the symplectic groupoids of log symplectic manifolds.

Omar Leon Sanchez, Department of Pure Mathematics, University of Waterloo

“NIP Theories XX”

We will see why C-minimal theories are dp-mininal, and hence conclude that the theory ACVF is NIP. We will also see why ACFA is ”not” NIP.

Carrie Knoll, Pure Math Department, University of Waterloo

"Complexity of classes of structures"

The main theme of this thesis is classifying classes of structures relative to various measurements. We will briefly discuss the notion of computable dimension, while the breadth of the paper will focus on calculating the Turing ordinal and the back-and-forth ordinal of various theories, along with an exploration of how these two ordinals are related in general.

Joseph Miller, University of Wisconsin - Madison

"The degrees of relative provability"

Mingzhong Cai recently introduced the degrees of provability to
compare the proof-theoretic strength of statements asserting the
totality of computable functions. They can also be viewed as the
Lindenbaum algebra of true $\Pi^0_2$ statements in first-order
arithmetic. We investigate the structure of the degrees of

David Farahany, Department of Pure Mathematics, University of Waterloo

“Problems with inverting the Fourier transform”

A basic question in harmonic analysis is the following: given the Fourier transform of a function, how can one recover the original function?

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Geometry working seminar

Talk #1: "The Lefschetz Theorem on (1,1) Classes" (Zhiyou Wu)

Model Theory seminar

Omar Leon Sanchez, Department of Pure Mathematics, University of Waterloo

Title: NIP XIX

Analysis seminar

Hun Hee Lee, Seoul National University

"Operator amenability of the $L^1$-algebra of a compact quantum group"

Student Number Theory seminar

Chao Lin, Department of Pure Math, University of Waterloo

“Freiman’s Theorem - Part II”

Geometry working seminar

Travis Li, University of Toronto

“Introduction to Lie groupoids and Lie algebroids”

Geometry & Topology seminar

Songhao Li, University of Toronto

“Elementary modification of Lie algebroids and the blow-up construction of Lie groupoids”

Model Theory seminar

Omar Leon Sanchez, Department of Pure Mathematics, University of Waterloo

“NIP Theories XX”

Thesis defense

Carrie Knoll, Pure Math Department, University of Waterloo

"Complexity of classes of structures"

Logic seminar

Joseph Miller, University of Wisconsin - Madison

"The degrees of relative provability"

Student colloquium

David Farahany, Department of Pure Mathematics, University of Waterloo

“Problems with inverting the Fourier transform”

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