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

[Igor Khavkine]

Dear All,

With a bit of a delay, I'd like to bring to your attention that the 
slides of the recent talk by Petr Čoupek are now available at

   https://users.math.cas.cz/~hvle/PHK/CoupekiteratedintegralODEs.pdf

These link has also been recorded at the ResearchSeminars announcement

   https://researchseminars.org/talk/PHK-cohomology-seminar/106/

Best,

Igor

On 5/12/24 13:00, sender of seminar announcement via phk_seminar wrote:
> 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/j/99598413922?pwd=YXNFbk50aVhleXhWSGtISFViLytRUT09 <https://cesnet.zoom.us/j/99598413922?pwd=YXNFbk50aVhleXhWSGtISFViLytRUT09>
> 
> MeetingID:99598413922
> 
> Passcode:Galois
> 
> For more information see the seminar web page at
> https://www.math.cas.cz/index.php/events/seminar/16
> 
> Cohomology in algebra, geometry, physics and statistics mailing list
> phk_seminar at math.cas.cz
> https://list.math.cas.cz/listinfo/phk_seminar@math.cas.cz
> 
> 
> _______________________________________________
> phk_seminar mailing list
> phk_seminar at math.cas.cz
> https://list.math.cas.cz/listinfo/phk_seminar