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ERC Workshop on Existence and Regularity for Nonlinear Systems of Partial Differential Equations*

The Jacobian, the square root and the set ∞

speaker: Fabrice Bethuel (Laboratoire Jacques-Louis LIONs, Université Pierre et Marie Curie, Paris)

abstract: We discuss the problem of prescribing the Jacobian determinant in dimension two: we restrict ourselves to the case the datum is a finite sum of Dirac masses with integer multiplicity. The main point here is to show that we may relate this problem to the search of harmonic maps into a singular space which is shaped as the symbol ∞ (or the number 8). The later problem in turn is closely linked to meromorphic functions. A large part of the presentation is devoted to a presentation of the various mathematical objets and their connections.

timetable:
Mon 30 Jun, 11:20 - 12:10, Aula Dini
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