Analysis Seminar

Title: Geometric aspects of semilinear elliptic PDEs and minimal hypersurfaces on closed manifolds
Speaker: Marco Mendez
Speaker Info:
Brief Description:
Special Note:

In this talk I will discuss both local and global properties of the stationary Allen-Cahn equation in closed manifolds. This equation, arising from the theory of phase transitions, has a strong connection with the theory of minimal hypersurfaces. I will summarize recent results regarding the analogy between both theories, focusing on min-max constructions. In particular, new insights into both Almgren-Pitts and Marques-Neves existence theories of minimal hypersurfaces will be discussed.
Date: Monday, March 12, 2018
Time: 4:10pm
Where: Lunt 105
Contact Person: Robin Neumayer
Contact email: neumayer@math.northwestern.edu
Contact Phone: 847-491-5580
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