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The colloquium typically meets Mondays at 4:00 PM in Room 617 on the sixth floor of Wachman Hall.
The colloquium is preceded by tea starting at 3:30 in the Faculty Lounge, adjacent to Room 617. Click on title for abstract.
Andre Guerra, Institute for Advanced Study
Quasiconvexity is a fundamental notion in the vectorial Calculus of Variations and is essentially equivalent to the applicability of the Direct Method. A fundamental problem, considered by Morrey in the 50s and 60s, is whether quasiconvexity is equivalent to ellipticity (in the sense of Legendre-Hadamard). In 1992 Vladimir Sverak showed that in 3 or higher dimensions they are not equivalent, but the two-dimensional case remains open. In this case one can expect a "complex analysis miracle", and we will discuss deep connections of Morrey's problem to old questions in Quasiconformal Analysis.
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