Quantitative stability of push-forwards by optimal maps

Mathphys Analysis Seminar

Date: June 11, 2025 | 3:00 pm – 4:00 pm
Speaker: Guillaume Carlier, Université Paris Dauphine
Location: Central Bldg / O1 / Mondi 1 (I01.O1.007)
Language: English

In this talk, based on a joint work with Quentin Mrigot and Alex Delalande, I will discuss (sharp) quantitative stability of push-forwards by optimal transport maps. The main step of the proof relies on a new bound (of independent interest) that quantifies the size of the singular set of convex functions.

Guillaume Carlier Central Bldg / O1 / Mondi 1 (I01.O1.007) June 11, 2025 Quantitative stability of push-forwards by optimal maps

More Information:

Date:
June 11, 2025
3:00 pm – 4:00 pm

Speaker:
Guillaume Carlier, Université Paris Dauphine

Location:
Central Bldg / O1 / Mondi 1 (I01.O1.007)

Language:
English

Contact:

Oosthuizen-Noczil Birgit

Email:
boosthui@ist.ac.at

Downloads:

Privacy Overview

This website uses cookies. Below you can provide individual consent regarding the use of cookies. Cookies under the category "necessary" are always enabled since they are technically necessary to access the website. You can find more information on the use of cookies in the data protection statement of ISTA

Necessary

Always Enabled

Necessary cookies are absolutely essential for the website to function properly. These cookies ensure basic functionalities and security features of the website.

Cookie	Duration	Description
cookielawinfo-checkbox-analytics	1 year	This cookie is set by GDPR Cookie Consent plugin. The cookie is used to store the user consent for the cookies in the category "Analytics".
cookielawinfo-checkbox-necessary	1 year	This cookie is set by GDPR Cookie Consent plugin. The cookies is used to store the user consent for the cookies in the category "Necessary".
CookieLawInfoConsent	1 year	This cookie only appears if you makes changes to the categories (e.g disable the category “Analytics”).
pll_language	1 year	The ISTA website is a multilingual website, WordPress requires a default language to be selected and set by a cookie in order to display the website, which is recorded by the pll_language cookie by Polylang. Furthermore this cookie is also used to remember the language selected by the user when returning to the website.
viewed_cookie_policy	1 year	The cookie is set by the GDPR Cookie Consent plugin and is used to store whether or not user has consented to the use of cookies. It does not store any personal data.

Analytics

Analytical cookies are used to understand how visitors interact with the website. These cookies help provide information on metrics the number of visitors, bounce rate, traffic source, etc.

Cookie	Duration	Description
_pk_id*	13 months	Matomo tracking cookie stores a unique user id.
_pk_ses*	13 months	Matomo tracking cookie stores a unique session id.

Quantitative stability of push-forwards by optimal maps

Mathphys Analysis Seminar

Subscribe to the ISTA Newsletter

FOLLOW US