James Coe (Edinburgh)
tba
Francis Lörler (Bonn)
Non-reversible Lifts of Reversible Diffusions and Hypocoercivity abstract
Abstract:
We introduce a new concept of lifts of reversible diffusion processes and show that various well-known non-reversible Markov processes arising in applications are lifts in this sense of simple reversible diffusions. Furthermore, we show that non-asymptotic relaxation times can at most be reduced by a square root through lifting, generalising a related result in discrete time. Finally, we demonstrate how quantitative hypocoercivity can be obtained for second-order lifts based on a time-integrated Poincaré inequality, and how this can be applied to find optimal lifts.
Francesco Triggiano (SNS/Pisa)
Title T.B.A.
Jonathan Junné (TU Delft)
Quantitative concentration of empirical measures on complete manifolds abstract
Abstract:
We derive quantitative concentration bounds for empirical measures of independent samples in Wasserstein distance on complete Riemannian manifolds under curvature assumptions, and we highlight key differences with the Euclidean setting. As an application, we consider aggregation–diffusion particle approximations on manifolds.
Dr. Francesca Carocci (Roma Tor Vergata)
Correlated Gromov-Witten invariants & DR cycle formula I abstract
Abstract:
In this first talk, we will talk about a geometricrefinement for log Gromov -Witten invariants of P^1-bundles on smoothprojective varieties, called correlated Gromov-Witten invariants,introduced in a joint work with T. Blomme. In order to compute them, weproved a correlated refinement of Pixton double-ramification cycleformula with target varieties. We will state the formula and try to give an idea of how it is obtained as an application of the Universal DR formula of Bae-Holmes-Pandharipande-Schmitt-Schwarz.
16:00 • ETH Zentrum, Rämistrasse 101, Zürich, Building HG, Room D 3.2
Dr. Thomas Blomme (Universite de Neuchatel)
Correlated Gromov-Witten invariants & DR cycle formula II abstract
Abstract:
Abelian surfaces are complex tori whose enumerativeinvariants seem to satisfy remarkable regularity properties. Thecomputation of their reduced Gromov-Witten invariants in the case ofprimitive classes has already been well studied with many completecomputations by Bryan-Oberdieck-Pandharipande-Yin. A few years ago, G.Oberdieck conjectured a multiple cover formula expressing in a verysimple way the invariants for the non-primitive classes in terms of theprimitive one. This would close the computation of GW invariants forabelian surfaces. In this second talk, we aim to explain how correlated invariants naturally show up in the decomposition formula for abelian surfaces, and how they allow to prove the multiple cover formula conjecture for many instances. This is joint work with F. Carocci.
17:15 • ETH Zentrum, Rämistrasse 101, Zürich, Building HG, Room D 3.2