Heat Flow, two-point inequalities, and beyond

Organizers: Paata Ivanisvili and José Ramón Madrid Padilla

ONLINE · October 30–November 3, 2023

This year the summer/fall school took place online. The total number of participants was limited to 12 (including 2 organizers).

Participants can be graduate students or postdocs interested in heat flow arguments, semigroups, two-point inequalities and related techniques in proving sharp estimates in analysis, probability, and additive combinatorics. Undergraduate students are also welcome to apply.

Each participant will choose a paper from the list and prepare two talks (each 50 minutes long). The first talk will be more introductory, containing the basic definitions and the summary of the results; the second talk will be more about the details of the proofs.

Participants will need to submit a 4–6 page summary of the talk by October 8th, 2023 for proceedings. Here is a sample of the summary written for this paper.

The summer/fall school is funded by the NSF. Nonlocal (not UCI affiliated) participants based in the US and having SSN will receive a stipend (funded by NSF CAREER DMS-2152401). Application deadline: July 17th, 2023. Historical application form: submit your application.

Inspired by the Summer School in Analysis.