Mon, 15 Jun 2020
14:15
Virtual

Geometry from Donaldson-Thomas invariants

Tom Bridgeland
(Sheffield)
Abstract

I will describe an ongoing research project which aims to encode the DT invariants of a CY3 triangulated category in a geometric structure on its space of stability conditions. More specifically we expect to find a complex hyperkahler structure on the total space of the tangent bundle. These ideas are closely related to the work of Gaiotto, Moore and Neitzke from a decade ago. The main analytic input is a class of Riemann-Hilbert problems involving maps from the complex plane to an algebraic torus with prescribed discontinuities along a collection of rays.

Creating a framework for conducting randomized clinical trials during disease outbreaks
 Dean, N Gsell, P Brookmeyer, R Crawford, F Donnelly, C Ellenberg, S Fleming, T Halloran, M Horby, P Jaki, T Krause, P Longini, I Mulangu, S Muyembe-Tamfum, J Nason, M Smith, P Wang, R Henao-Restrepo, A De Gruttola, V New England Journal of Medicine volume 382 issue 14 1366-1369 (02 Apr 2020)

How do mathematicians model infectious disease outbreaks? ONLINE Oxford Mathematics Public Lecture 5pm, 8 April

Models. They are dominating our Lockdown lives. But what is a mathematical model? We hear a lot about the end result, but how is it put together? What are the assumptions? And how accurate can they be?

In our first online only lecture Robin Thompson, Research Fellow in Mathematical Epidemiology in Oxford, will explain. Robin is working on the ongoing modelling of Covid-19 and has made many and varied media appearances in the past few weeks. We are happy to take questions after the lecture.

Estimates of the severity of coronavirus disease 2019: a model-based analysis
 Verity, R Okell, L Dorigatti, I Winskill, P Whittaker, C Imai, N Cuomo-Dannenburg, G Thompson, H Walker, P Fu, H Dighe, A Griffin, J Baguelin, M Bhatia, S Boonyasiri, A Cori, A Cucunubá, Z FitzJohn, R Gaythorpe, K Green, W Hamlet, A Hinsley, W Laydon, D Nedjati-Gilani, G Riley, S van Elsland, S Volz, E Wang, H Wang, Y Xi, X Donnelly, C Ghani, A Ferguson, N Lancet Infectious Diseases volume 20 issue 6 669-677 (30 Mar 2020)
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