Mathematical Institute

Tue, 10 Dec 2019 09:00 -

Tue, 31 Mar 2020 18:00

South Mezz Circulation

The Penrose Proofs: an exhibition of Roger Penrose’s Scientific Drawings 1-6

Roger Penrose

(University of Oxford)

Further Information

As you might expect from a man whose family included the Surrealist artist Roland Penrose, Roger Penrose has always thought visually. That thinking is captured brilliantly in this selection of Roger’s drawings that he produced for his published works and papers.

From quasi-symmetric patterns to graphic illustrations of the paradoxical three versions of reality via twistor theory and the brain, this selection captures the stunning range of Roger’s scientific work and the visual thinking that inspires and describes it.

Mezzanine Level
Mathematical Institute
Oxford

10 December 2019- 31 March 2020

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The Penrose Proofs: an exhibition of Roger Penrose’s Scientific Drawings 1-6

Tue, 28 Jan 2020

15:30 - 16:30

A Pfaffian - determinantal duality in random matrices and last passage percolation

Nikolaos Zygouras

(University of Warwick)

Abstract

It is known that random matrix distributions such as those that describe the largest eignevalue of the Gaussian Orthogonal and Symplectic ensembles (GOE, GSE) admit two types of representations: one in terms of a Fredholm Pfaffian and one in terms of a Fredholm determinant. The equality of the two sets of expressions has so far been established via involved computations of linear algebraic nature. We provide a structural explanation of this duality via links (old and new) between the model of last passage percolation and the irreducible characters of classical groups, in particular the general linear, symplectic and orthogonal groups, and by studying, combinatorially, how their representations decompose when restricted to certain subgroups. Based on joint work with Elia Bisi.

Thu, 30 Jan 2020

17:00 - 18:00

Oxford Mathematics Public Lecture: Henry Segerman - Artistic Mathematics: truth and beauty

Henry Segerman

(Oklahoma State University)

Further Information

This lecture is about mathematical visualization: how to make accurate, effective, and beautiful pictures, models, and experiences of mathematical concepts. What is it that makes a visualization compelling?

Henry will show examples in the medium of 3D printing, as well as his work in virtual reality and spherical video. He will also discuss his experiences in teaching a project-based class on 3D printing for mathematics students.

Henry Segerman is an Associate Professor in the Department of Mathematics at Oklahoma State University.

Please email external-relations@maths.ox.ac.uk to register.

Watch live:
https://www.facebook.com/OxfordMathematics/
https://livestream.com/oxuni/Segerman

The Oxford Mathematics Public Lectures are generously supported by XTX Markets.

Thu, 12 Dec 2019

10:00 - 16:30

LMS Applied Algebra and Geometry seminar

Various

Further Information

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Mon, 17 Feb 2020
14:15

Twisted indices of 3d supersymmetric gauge theories and enumerative geometry of quasi-maps

Heeyeon Kim

(Oxford)

Abstract

I will discuss the geometric interpretation of the twisted index of 3d supersymmetric gauge theories on a closed Riemann surface. In the first part of the talk, I will show that the twisted index computes the virtual Euler characteristic of the moduli space of solutions to vortex equations on the Riemann surface, which can be understood algebraically as quasi-maps to the Higgs branch. I will explain 3d N=4 mirror symmetry in this context, which implies non-trivial relations between enumerative invariants associated to these moduli spaces. Finally, I will present a wall-crossing formula for these invariants derived from the gauge theory point of view.