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Rodolfo Brandao

Princeton University
Elastic filaments in viscous flows

February 27, 2025

Irving K Barber 261 and Zoom

Hydrodynamic interactions between elastic filaments and external flows play a fundamental role in various natural processes, including the locomotion of flagellated and ciliated organisms. In this talk, we explore key problems involving elastic filaments immersed in a viscous fluid and subjected... Read more

Rahul Dalal

University of Vienna
Automorphic Representations and Quantum Logic Gates

February 27, 2025

MATH 126

Any construction of a quantum computer requires finding a good set of universal quantum logic gates: abstractly, a finite set of matrices in U(2^n) such that short products of them can efficiently approximate arbitrary unitary transformations. The 2-qubit case n=2 is of particular practical... Read more

Number Theory

Anotida Madzvamuse

Unravelling the mathematics for single cell dynamics

February 26, 2025

Civil and Mechanical Engineering Building

Join us for an engaging presentation on "Unraveling the Mathematics of Single-Cell Dynamics" with Dr. Anotida Madzvamuse. This event is part of the UBC Applied Science Black Excellence in STEM (BEST) Speaker Series , in collaboration with the Faculties of Science, Forestry, and Land... Read more

Mathematical Biology

Aukosh Jagannath

University of Waterloo
Replica Symmetry Breaking, Shattering, and Metastability

February 26, 2025

The statics and dynamics of mean-field models of spin glasses have been studied in-depth by the physics community since the '70s. At the heart of this is the trade-off between the notions of replica symmetry breaking, shattering, and metastability. I will survey the current mathematical... Read more

Probability

Haggai Liu

Simon Fraser University
Moduli Spaces of Weighted Stable Curves and their Fundamental Groups

February 25, 2025

ESB 4133 (PIMS library)

The Deligne-Mumford compactification, $\overline{M_{0,n}}$, of the moduli space of $n$ distinct ordered points on $\mathbb{P}^1$, has many well understood geometric and topological properties. For example, it is a smooth projective variety over its base field. Many interesting properties are... Read more

Discrete mathematics

Alexis Kaminski

UC Berkeley
Fluxes and mixing of reacting biogeochemical scalars in stratified shear layers

February 24, 2025

MATX 1100 and Zoom

Turbulent mixing is a key physical process in the ocean, impacting the distributions of momentum, heat, salt, and other important tracers. The latter includes biogeochemical (BGC) scalars, representing many different species of plankton and nutrients that play an important role in marine... Read more

Sabin Cautis

UBC
Abelian Hall categories

February 24, 2025

Math 126, Dept. of Mathematics, UBC

We will explain how, to any quiver, one can associate a finite length abelian category which categorifies the corresponding K-theoretic Hall algebra. The simples in this category provide a (dual) canonical basis of the Hall algebra. In particular, if the quiver is affine, this provides a basis... Read more

Algebra and Algebraic geometry

Kyle McKee

MIT
Circulation and Transport in Hele-Shaw Flows

February 13, 2025

CEME 2202 and Zoom

Viscously-dominated flow between two closely spaced plates is described by two-dimensional potential flow according to the standard Hele-Shaw approximation. When driven exclusively by pressure, the class of realizable potential flows is highly restricted: only flows with exactly zero circulation... Read more

Emily Casey

University of Washington
Boundary regularity of planar domains and the Carleson epsilon-function

February 12, 2025

2207 Main Mall

A longstanding conjecture of Carleson stated that the tangent points of the boundaries of certain planar domains can be characterized by the behavior of the Carleson $\varepsilon$ -function. This conjecture, which was fully resolved by Jaye, Tolsa, and Villa in 2021, established that having... Read more

Harmonic Analysis and Fractal Geometry

Jonathan Hermon

UBC
Relaxing, mixing and cutoff for random walks on nilpotent groups