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**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

David Chodounsky, Institute of Mathematics of the Czech Academy of Sciences

"Countable chromatic number of definable graphs via games"

We define games which characterize countable coloring numbers of analytic graphs on Polish spaces. These games can provide simple verification of the countable chromatic number of certain graphs. (Eg. the rational distance graph on the Euclidean plane.) Joint work with Jindrich Zapletal.

MC 5403

Padraig Daly, Department of Pure Mathematics, University of Waterloo

"Quantum superchannels on the space of quantum channels"

Quantum channels, defined as completely-positive and trace-preserving maps on matrix algebras, are an important object in quantum information theory. In this thesis we are concerned with the space of these channels. This is motivated by the study of quantum superchannels, which are maps whose input and output are quantum channels.

Talk #1: Sourabhashis Das, Department of Pure Mathematics, University of Waterloo

"On the number of irreducible factors with a given multiplicity in function fields"