Events

Xingchi Ruan, Department of Pure Mathematics, University of Waterloo

"Singular Series in the Hilbert-Kamke Problem"

The Hilbert-Kamke problem is a well-known problem in number theory. It looks for the solubility of a certain type of system of equations. We talk about how the singular series will provide solubility to the Hilbert-Kamke problem, and we will find a lower bound of the number of variables to ensure the sum of the singular series is positive.

MC 5403

Liam Orovec, Department of Pure Mathematics, University of Waterloo

"Unique Representations of Real Numbers in Non-Integer Bases"

Natasha Dobrinen, University of Notre Dame

"Infinite-dimensional Ramsey theory for binary relational free amalgamation classes"

Eric Boulter, Department of Pure Mathematics, University of Waterloo

"Co-isotropic foliations in holomorphic symplectic manifolds"

Sean Monahan, Department of Pure Mathematics, University of Waterloo

"Contracting the other rays in NE(X) for horospherical X"

I plan to continue from last time on contracting extremal rays in NE(X). This time, we will see how to contract the curve classes coming from walls in the coloured fan for X. So the plan is to touch on section 3.6 and then move to section 4.6 in Brion’s paper “Variétés sphériques et théorie de Mori”. If there is time, I will start the other material in section 4: flips.

Jenny Xu, Department of Pure Mathematics, University of Waterloo

"An Invitation to Model-Theoretic Galois Theory (Part II)"

Xiao Zhong, Department of Pure Mathematics, University of Waterloo

"Dynamical Cancellation of Polynomials"

Yash Singh, Department of Pure Mathematics, University of Waterloo

"Supersingular reduction of elliptic curves"

We study reductions of elliptic curves modulo p and the phenomenon of supersingular reductions. Time permitting, we will prove a landmark theorem of Elkies in this vein.

MC 5403

Luca Di Cerbo, University of Florida

"Complex structures on 4-manifolds"

Luke MacLean, Department of Pure Mathematics, University of Waterloo

"Metatheorems"