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Hanming Liu, Department of Pure Mathematics, University of Waterloo

"Introduction"

We will be reading Audin and Damian's book "Morse Theory and Floer Homology". In this introductory talk, I will briefly talk about why symplectic geometers and geometric topologists would want to study Morse theory, and then present chapter 1 and the beginning of chapter 2.

M3 4206
 

Rahim Moosa, Department of Pure Mathematics, University of Waterloo

"Restricted Zilber Trichotomy"

We will be reading Ben Castle's paper.

MC 4060

Rachael Alvir, Department of Pure Mathematics, University of Waterloo

"Reverse Math III"

In this talk, we will be presenting material from a recent book by Damir Dzhafarov and Carl Mummert. In particular, we will prove the cone avoidance basis theorem.

MC 5403

**THIS TALK HAS BEEN RESCHEDULED UNTIL NEXT WEEK**

Rahim Moosa, Department of Pure Mathematics, University of Waterloo

"Restricted Zilber Trichotomy"

We will be reading Ben Castle's paper.

MC 4060

Michael Brannan and Nick Priebe, Department of Pure Mathematics, University of Waterloo

"Quantum symmetries of Hadamard Matrices, Revisited (Part 2)"

This is the second of two talks: We will revisit quantum automorphisms of Hadamard matrices, following the preprint of D. Gromada (arxiv:2210.02047v3).  We will compare this with the original definition of Banica-Nicoara introduced in the seminar a few weeks ago, and connect it to the quantum automorphism groups of Hadamard graphs.

MC 5403

Michael Brannan and Nick Priebe, Department of Pure Mathematics, University of Waterloo

"Quantum symmetries of Hadamard Matrices, Revisited (Part 1)"

In this two-part talk, we will revisit quantum automorphisms of Hadamard matrices, following the preprint of D. Gromada (arxiv:2210.02047v3).  We will compare this with the original definition of Banica-Nicoara introduced in the seminar a few weeks ago, and connect it to the quantum automorphism groups of Hadamard graphs.

MC 5403

Talk #1 (1:00 - 2:30pm): Xuemiao Chen, University of Waterloo

"Boundary value problems for G2 holonomy equation and mapping problems for 3 forms on 5-d manifolds"

Talk #1: Kareem Alfarra

"On integers n coprime to f(n)"

In a previous discussion, we saw that the set of integers n such that gcd(n, ⌊αn⌋) = 1 for an irrational α has density 6/π². In the same spirit, we investigate the following set of integers n such that gcd(n, f(n)) = 1 where f (1), f (2), . . . is a non-decreasing sequence of positive integers that slowly tends to infinity. Then we see once again that the density of this set is 6/π².

Talk #2: Yash Totani

Ali Jabbari, Shahid Bahonar University of Kerman

"Affine flows, Namioka fixed points and a fixed point theorem"

Rachael Alvir, Department of Pure Mathematics, University of Waterloo

"Reverse Math II"

In this talk, we will give a preliminary introduction to reverse mathematics. We will be working from a recent book by Damir Dzhafarov and Carl Mummert.

MC 5403