ICTP Mathematics Seminars - Friday 30 August, at 14:30 (Jose Ramon Madrid Padilla and Mariana Smit Vega Garcia)

[ICTP Math Section]

M A T H E M A T I C S   S E M I N A R S  2019


Friday 30 August, starting at 14:30


VENUE: Luigi Stasi Seminar Room (ICTP Leonardo da Vinci Building, first 
floor)


14:30 - 15:30  José Ramón Madrid Padilla (UCLA)


Title: Directional maximal function along the primes


Abstract: In this talk we will discuss the l2-boundedness of the 
directional maximal operators along primes. Through Fourier Analysis we 
will make a reduction to study two different situations, in one of them 
we will appeal to the Bourgain best constant argument and in the other 
we will use a nice incidence result established recently


15:30 - 16:00 break


16:00 - 17:00 Mariana Smit Vega Garcia (Western Washington University)


Title: Free boundary problems


Abstract: The study of one of the most renowned examples of free 
boundary problems, the classical obstacle problem, began in the 60’s 
with the pioneering works of G. Stampacchia, H. Lewy and J. L. Lions. 
During the past five decades, it has led to beautiful and deep 
developments in the calculus of variations and geometric partial 
differential equations. One of its crowning achievements has been the 
development, due to L. Caffarelli, of the theory of free boundaries. 
Nowadays the obstacle problem continues to offer many challenges and its 
study is as active as ever.  In this talk, I will overview the obstacle 
problem and describe a few methods used to tackle two fundamental 
questions: what is the optimal regularity of the solution, and what can 
be said about the free boundary.
This is based on joint works with Mark Allen, Nicola Garofalo & Arshak 
Petrosyan

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Koutou Mabilo
ICTP Mathematics Group
Leonardo Da Vinci Building
Strada Costiera no. 11
34151 Trieste, Italy
Tel. no.: +39-040-2240455

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