Events

Ty Ghaswala, Department of Pure Mathematics, University of Waterloo

“Dot dash dash dot. Dot dot dash. Dash dot.”

We will continue working through Milnor's Morse theory, and this week we will be going through theorem 3.5. Given a manifold $M$ and a function $f:M \to \mathbb{R}$, this theorem gives us an explicit cell decomposition of $M$ in terms of the indices of the crit

Michael Rubinstein, Department of Pure Mathematics, University of Waterloo

“Summation techniques for the Riemann zeta function”

I'll describe several new formulae for the Riemann zeta function, a few of which have application to high precision computation, and also discuss some unifying summation methods.

David McLaughlin, Department of Pure Mathematics, University of Waterloo

"Projective Posets"

A poset is said to be projective if its only idempotent polymorphisms
are projections. We will try to classify projective posets using
combinatorial properties. Projective posets of height 1 are completely
understood. Moreover, we know exactly when posets of height 1 have
Taylor polymorphisms. We will also discuss known results about posets
of greater height.

David Penneys, University of Toronto

“GJS C*-algebras”

Guionnet-Jones-Shlyakhtenko (GJS) gave a diagrammatic proof of a
result of Popa which reconstructs a subfactor from a subfactor planar
algebra. In the process, certain canonical graded *-algebras with
traces appear. In the GJS papers, they show that the von Neumann
algebras generated by the graded algebras are interpolated free group

Jason Bell, Pure Mathematics, University of Waterloo

"Gromov’s theorem VII: linear groups,continued"

We continue to investigate finitely generated subgroups of the general linear group and in particular when they contain free subgroups and free subsemigroups.

Ming-Tao Chuan, Stony Brook University & Simons Center for Geometry and Physics

"Hermitian-Yang-Mills connections under conifold transitions"

Fu, Li, and Yau proved the existence of balanced metrics on certain non-Kahler manifolds which are obtained by conifold transitions of Calabi-Yau threefolds. In this talk, I will describe a result concerning the existence of Hermitian-Yang-Mills connections on holomorphic vector bundles with respect to Fu-Li-Yau's metric.

Robert Garbary, Pure Mathematics, University of Waterloo

"Manifolds in Euclidean Spaces"

So far we have been studying a manifold M along with a smooth function f on M whose only critical points are non-degenerate. We have made a lot of cool progress, but there is still a major hole: which manifolds actually admit these functions? I’m going to address this question when our manifold actually comes with an embedding into Euclidean space.

Rahim Moosa, Pure Mathematics, University of Waterloo

"Twisted Lang-Weil and the elementary theory of the Frobenius automorphism"

I will give an expository talk on a theorem of Ehud Hrushovski that is as yet unpublished, though an early draft dates back at least to 1998. It is a generalisation of a celebrated classical theorem of Ax on the elementary theory of finite fields.

Mahmoud Filali, University of Oulu

"Interpolation sets and quotients of function spaces on a locally compact group"

Using interpolation sets, we devise a fairly general method for estimating the size of quotients of function spaces on a locally compact group. This unifies approaches followed by many other authors (including us) to obtain particular cases. This is joint work with Jorge Galindo, University of Jaume I, Spain.

Omar Leon Sanchez, Pure Mathematics, University of Waterloo

"NIP theories VIII (or IX)"

We define honest definitions and give some examples.

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Grad student Geometry and Topology learning seminar