Numerically Solving Parametric Families of High-Dimensional Kolmogorov
Partial Differential Equations via Deep Learning
Berner, J Dablander, M Grohs, P (09 Nov 2020) http://arxiv.org/abs/2011.04602v1
Exploring QSAR models for activity-cliff prediction
Dablander, M Hanser, T Lambiotte, R Morris, G (31 Jan 2023)
Tue, 07 Feb 2023
12:00
L3

The stochastic analysis of Euclidean QFTs

Massimiliano Gubinelli
(Mathematical Insitute, Oxford)
Abstract

I will report on a research program which uses ideas from stochastic analysis in the context of constructive Euclidean quantum field theory. Stochastic analysis is the study of measures on path spaces via push-forward from Gaussian measures. The foundational example is the map, introduced by Itô, which sends Brownian motion to a diffusion process solution to a stochastic differential equation. Parisi–Wu's stochastic quantisation is the stochastic analysis of an Euclidean quantum field, in the above sense. In this introductory talk, I will put these ideas in context and illustrate various stochastic quantisation procedures and some of the rigorous results one can obtain from them.

Thu, 09 Feb 2023
15:00
L6

The HKKP filtration for algebraic stacks

Andres Ibanez Nunez
Abstract

In work of Haiden-Katzarkov-Konsevich-Pandit (HKKP), a canonical filtration, labeled by sequences of real numbers, of a semistable quiver representation or vector bundle on a curve is defined. The HKKP filtration is a purely algebraic object that depends only on a poset, yet it governs the asymptotic behaviour of a natural gradient flow in the space of metrics of the object. 

In this talk, we show that the HKKP filtration can be recovered from the stack of semistable objects, thus generalising the HKKP filtration to other moduli problems of non-linear origin. In particular, we will make sense of the notion of a filtration labelled by sequence of numbers for a point of an algebraic stack.

Thu, 02 Feb 2023
15:00
L6

Higher Geometry by Examples

Chenjing Bu
Abstract

We give an introduction to the subject of higher geometry, by giving many examples of higher geometric objects, and looking at their properties. These include examples of 2-rings, 2-vector spaces, and 2-vector bundles. We show how these concepts help solve problems in ordinary geometry, as one of the many motivations of the subject. We assume no prerequisites on the subject, and the talk should be applicable to both differential and algebraic geometry.

Mon, 06 Mar 2023
16:00

TBD

Mon, 27 Feb 2023
16:00
Quillen Room

TBD

TBD
Mon, 20 Feb 2023
16:00
Quillen Room

TBD

TBD
Mon, 13 Feb 2023
16:00
Quillen Room

Symplectic Determinants

Mohamed Moakher
(University of Paris )
Abstract

The notion of a pseudocharacter was introduced by A.Wiles for GL_2 and generalized by R.Taylor to GL_n. It is a tool that allows us to deal with the
deformation theory of a residually reducible Galois representation when the usual techniques fail. G.Chenevier gave an alternative theory of "determinants" extending that of pseudocharacters to arbitrary rings. In this talk we will discuss some aspects of this theory and introduce a similar definition in the case of the symplectic group, which is the subject of a forthcoming work joint with J.Quast. 

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