Monday, December 7

MS3
Topics in Fractional and Geometric PDE - Part I of III

10:00 AM - 12:00 PM
Room: Symphony II

For Part II, see MS24

Geometric equations and non-local (fractional) equations appear in many seemingly unrelated fields, such as stochastic control, mass transport, conformal geometry, phase transitions and curvature flows. Common issues and techniques suggest deeper connections. Illustrative examples are the realization of fractional powers of the Laplacian (non local operator) as the Neumann map for an associated elliptic equation (local operator) and the understanding of singularities via blow up in free boundaries and curvature flows. The main goal of this mini symposia is to expose researchers with different backgrounds to ideas from neighboring fields, with the hope that it may lead to breakthroughs in their areas of expertise.

Organizer: Nestor Guillen
University of Texas at Austin
Raul Manasevich
Universidad de Chile, Chile
Mario Milman
Florida Atlantic University
Maria Del Mar Gonzalez
Universitat Politecnica de Catalunya, Spain

10:00-10:25 Monge-Ampere Type Equations and Geometric Optics
Cristian Gutierrez, Temple University
10:30-10:55 On the Levi Monge Ampère Equation
Annamaria Montanari, Universita' di Bologna, Italy
11:00-11:25 Ancient Solutions to the Ricci Flow on Surfaces
Panagiota Daskalopoulos, Columbia University
11:30-11:55 Title Not Available at Time of Publication
YanYan Li, Rutgers University

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