Friday, April 29, 2022 — 2:30 PM EDT
Michael Albanese, UQAM
"The Yamabe Invariant of Non-Kähler Surfaces"
The Yamabe invariant is a real-valued diffeomorphism invariant coming from Riemannian geometry. Using Seiberg-Witten theory, LeBrun showed that the sign of the Yamabe invariant of a Kähler surface is determined by its Kodaira dimension. We consider the extent to which this remains true when the Kähler hypothesis is removed.
This seminar will be held jointly online and in person:
Thursday, April 28, 2022 — 1:00 PM EDT
Shengda Hu, Wilfrid Laurier University
"Riemannian metrics and generalized geometry"
We will discuss some computations involving Riemannian metrics in the context of generalized geometry. We will try to illustrate various constructions involving metric connections and their curvatures.
Friday, April 22, 2022 — 2:30 PM EDT
Jesse Madnick, National Taiwan University
"Associative 3-folds in Squashed 7-Spheres"
Thursday, April 21, 2022 — 1:00 PM EDT
Spiro Karigiannis, Department of Pure Mathematics, University of Waterloo
"Calibrated subbundles of $\mathbb R^7$"
Wednesday, April 20, 2022 — 4:00 PM EDT
Xuanlong Fu, University of Toronto
"Tracial oscillation zero and stable rank one"
Let A be a separable (not necessarily unital) simple C*-algebra with strict comparison. We show that if A has tracial approximate oscillation zero then A has stable rank one and the canonical map \Gamma from the Cuntz semigroup of A to the corresponding lower-semicontinuous affine function space is surjective. The converse also holds.
Thursday, April 14, 2022 — 1:00 PM EDT
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.
Wednesday, April 13, 2022 — 4:00 PM EDT
Katherina von Dichter, Technical University of Munich
"Mean inequalities for symmetrizations of convex bodies"
Friday, April 8, 2022 — 4:00 PM EDT
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:
Friday, April 8, 2022 — 2:30 PM EDT
Adam Jacob, University of California Davis
"The deformed Hermitian-Yang-Mills equation"
Thursday, April 7, 2022 — 1:00 PM EDT
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.
Wednesday, April 6, 2022 — 4:00 PM EDT
Jacob Campbell, Department of Pure Mathematics, University of Waterloo
"Characters of the infinite symmetric group and random matrices"
Wednesday, April 6, 2022 — 1:00 PM EDT
Christian Schulz, University of Illinois at Urbana-Champaign
"A strong version of Cobham’s theorem"
Wednesday, April 6, 2022 — 12:00 PM EDT
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.
Friday, April 1, 2022 — 2:30 PM EDT
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.