[PHK_seminar] [Cohomology]Tuesday 14 May, Petr Čoupek

[Petr Somberg]

 This is just a reminder for our seminar, this time exceptionally today!

> Cohomology in algebra, geometry, physics and statistics
>
>
>
>
> Tuesday, 14 May 2024 - 13:30 to 14:30
>
> Place: Institute of Mathematics of ASCR, Žitná 25, Praha 1, the
> blue lecture room in the rear building + ZOOM meeting
>
>
>
>
> Speaker: Petr Čoupek, Charles University
>
> Title: Iterated integrals and controlled ODEs
>
>
>
> Abstract
>
>
> The purpose of this non-technical talk is to discuss the role that
> iterated integrals (an instance of the so-called mapping space signature)
> play in the theory of ordinary differential equations (ODEs) of the form
> Y˙ (t) = f(Y (t))X˙ (t) where the path X models the input and the path Y
> models the output of a physical system whose dynamics is governed by a
> (non-linear function) f. When X is sufficiently regular (e.g. Lipschitz)
> function, the solution to the ODE can be, roughly speaking, found as a
> limit of its iterated integrals. Such regularity is, however, typically
> not obtained if X is a sample path of a stochastic process (e.g. the
> Wiener process) and X˙ models the random noise (e.g. the white noise). In
> the talk, we will discuss why low regularity is a problem, what can be
> done, and why it is important to understand the algebraical and analytical
> properties of the iterated integrals (and, more generally, the mapping
> space signature).
>
> --------------------------------------------------------------------------------------------------------------------------------------------
>
> ATTENTION: This lecture shall be held on Tuesday instead of Wednesday.
>
> We shall open the lecture room + ZOOM at 13.15 for coffee and close the
> room at 15:00
>
> Join Zoom Meeting
>
> https://cesnet.zoom.us/…T09
>
> MeetingID:99598413922
>
> Passcode:Galois
>
>
>
>
>
> For more information see the seminar web page at
>
> https://www.math.cas.cz/…/16
>
>