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Christopher Lang, Department of Pure Mathematics, University of Waterloo

"The Spectral Curve of a SU(2) Monopole (Part 2): Identifying Subbundles"

We will be following Hitchin's 1982 paper, Monopoles and Geodesics, continuing from the last talk. This time, we find two holomorphic subbundles of the holomorphic vector bundle from the previous talk and identify them. Time permitting, we will define the spectral curve and discuss its properties.

MC 5403

Aleksa Vujicic, Department of Pure Mathematics, University of Waterloo

"The Problem with Braid"

Braid is a puzzle game released in 2008 whose central mechanic revolves around time manipulation. The goal of any level is to manipulate different level elements so that you can reach the exit - but is this always possible to do? It turns out that answering this question in general is impossible to do, and we look at why this is the case.

This talk will be held jointly online and in person:

Aleksa Vujicic, Department of Pure Mathematics, University of Waterloo

"Characterisations of Pseudo-Amenability"

Richard Hoshino, Northeastern University

"Developing Connections through Rich Mathematical Problems"

In this informal and interactive workshop, Richard will present three puzzles, and share stories of how these problems have led to authentic mathematical experiences for his students.  In the process of solving these puzzles together, we will uncover how these problems link key undergraduate topics taught in the Faculty of Mathematics.  Finally, we will explore how we might integrate inquiry-driven problem-solving into all of our courses.

Dennis The, UiT The Arctic University of Norway

"Simply-transitive CR real hypersurfaces in C^3"

Holomorphically (locally) homogeneous CR real hypersurfaces M^3 in C^2 were classified by Elie Cartan in 1932. A folklore legend tells that an unpublished manuscript of Cartan also treated the next dimension M^5 in C^3 (in conjunction with his study of bounded homogeneous domains), but no paper or electronic document currently circulates.

Jacob Campbell, Department of Pure Mathematics, University of Waterloo

"Characters of the infinite symmetric group and random matrices"

Adam Jacob, University of California Davis

"The deformed Hermitian-Yang-Mills equation"

Christian Schulz, University of Illinois at Urbana-Champaign

"A strong version of Cobham’s theorem"

Eden Prywes, Princeton University

"Stability Properties of Quasiregular Curves"

I will discuss a family of maps called Quasiregular curves that are generalizations of quasiconformal maps and holomorphic curves.  I will present their basic properties and present some recent work.  Mainly, if a quasiregular curve satisfies a small distortion property, then it can be approximated by a Möbius transformation.  This talk is based on joint work with Susanna Heikkilä and Pekka Pankka.

Srivatsav Kunnawalkam Eleyavalli, Vanderbilt University

"A trick involving biduals and an application"

I will present a trick involving biduals of C* algebras and present an application that derives proper proximality of all wreath products where the acting group is non amenable. This is joint work with Changying Ding.

This seminar will be held jointly online and in person: