ICTP Mathematics Seminar - Friday, 6 December, at 10:00 (Mouhamed Moustapha Fall)

[ICTP Math Section]

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


Friday 6 December, at 10:00 hrs.(please note the unusual time slot)


Speaker: Mouhamed Moustapha Fall (AIMS, Senegal)


Title: Constant Nonlocal Mean Curvature Hypersurfaces


Abstract: The notion of Nonlocal Mean Curvature (NMC) appeared in the 
mathematics literature around 10 years ago. It arises in variational 
problems for the fractional perimeter and related nonlocal interfacial 
energies. I will first review the notion of NMC and discuss its main 
properties in comparison with the classical mean curvature.  I will also 
focus on the class of hypersurfaces with constant NMC. Although this 
class is still largely unexplored, first results show both similarities 
and striking differences to the classical local setting of constant mean 
curvature surfaces.

[Joint work with: Xavier Cabré (Universitat Politècnica de Catalunya, 
Barcelona), Joan Solà-Morales (Universitat Politècnica de Catalunya, 
Barcelona), Tobias Weth (Goethe-University Frankfurt)]

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



-- 

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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