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
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
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"
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
**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
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
Ali Jabbari, Shahid Bahonar University of Kerman
"Affine flows, Namioka fixed points and a fixed point theorem"
Talk #1: Jack DeSerrano
"The density of integers n coprime to ⌊αn⌋"
We determine, for a real number α, the density of positive integers n such that gcd(n, ⌊αn⌋) = 1, drawing from a 1953 paper of G. L. Watson. For example, for irrational α, we show that this density is 6/π2.
Talk #2: Owen Sharpe
"Waring's Problem on Function Fields of Characteristic Two"
We review the work of Gallardo and Heath-Brown on Waring's problem in the polynomial rings F_2[t] and F_4[t].
**This talk has been postponed till next week (June 20)**
Francisco Villacis, Department of Pure Mathematics, University of Waterloo
"D-Modules on Smooth Varieties"
In this talk I will talk about D-modules on smooth varieties and the Riemann-Hilbert Correspondence.
MC 5403