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 Events
PhD Candidate: Xinyu Liu
Mathematics, UBC
Wed 13 Dec 2017, 12:30pm SPECIAL
Room 203, Graduate Student Centre, UBC
PhD Oral Exam: Schwartz Analysis and Intertwining Distributions
Room 203, Graduate Student Centre, UBC
Wed 13 Dec 2017, 12:30pm-2:30pm

Details

Abstract: In this dissertation, we combine the work of A. Aizenbud and D. Gourevitch on Schwartz functions on Nash manifolds, and the work of F. du Cloux on Schwartz inductions, to develop a toolbox of Schwartz analysis on algebraic groups. We then use these tools to study the intertwining operators between parabolic inductions, and the behaviour of intertwining distributions on certain open subsets. Finally we use our results to give new proof of results of F. Bruhat, on irreducibilities of degenerate principal series and minimal principal series.

Note for Attendees

Latecomers will not be admitted.
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Daphne Nesenberend
Wed 13 Dec 2017, 2:00pm
Mathematical Biology Seminar
ESB 5104
A continuous population level model of the co-operation of HIV and syphilis in the MSM population of Vancouver.
ESB 5104
Wed 13 Dec 2017, 2:00pm-3:00pm

Abstract

The HIV prevalence in the MSM population of Vancouver is slowly increasing,
but the amount of Syphilis cases is increasing very rapidly. Since Syphilis
facilitates the infection of HIV, there is a certain relation between the
infected populations. In this model, we explore the
co-operation of these two STD's and see what the influence of testing rate
is on the prevalence.
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Université de Sherbrooke
Wed 13 Dec 2017, 3:00pm
Department Colloquium
MATX 1100
A snapshot of Heegaard Floer theory
MATX 1100
Wed 13 Dec 2017, 3:00pm-4:00pm

Abstract

Heegaard Floer homology provides a suite of invariants for studying three-manifolds, introduced by Ozsváth and Szabó. This theory has, more recently, been expanded to treat manifolds with boundary through bordered Floer homology, providing the tools required to answer natural questions that arise when decomposing a three-manifold along a surface. This talk aims to provide a brief overview of Heegaard Floer theory, give a sense for some of the questions driving its study, and point to some recent progress on answering these.

Note for Attendees

Refreshments will be served in MATX 1100 at 2:30 p.m. before this Mathematics Colloquium.
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Université de Sherbrooke
Thu 14 Dec 2017, 3:00pm SPECIAL
Topology and related seminars
ESB 4133 (PIMS Lounge)
Heegaard Floer homology as immersed curves.
ESB 4133 (PIMS Lounge)
Thu 14 Dec 2017, 3:00pm-4:00pm

Abstract

The Heegaard Floer homology of a manifold with torus boundary can be expressed as a collection of immersed curves (possibly decorated with local systems). This provides a geometric structure theorem, interpreting the algebraic invariants that arise in bordered Floer homology. From this point of view, the Heegaard Floer homology of a closed manifold obtained by gluing manifolds (with boundary) along a torus may be recovered as the Lagrangian intersection Floer homology of the associated curves. In practice, this reduces gluing problems to simple minimal intersection counts. I'll set up this machinery and describe some of the applications that follow. This is joint work with Jonathan Hanselman and Jake Rasmussen.
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