Pierre-Louis Lions, Collège de France
On Mean Field Games
Martedì 29 Ottobre 2019, ore 14:40
Palazzo di Brera, Via Brera 28, Milano, Sala Maria Teresa | |
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Roger Penrose, University of Oxford
On the Power of Geometric Illustration in Mathematics and Science
Martedì 29 Ottobre 2019, ore 16:00
Palazzo di Brera, Via Brera 28, Milano, Sala Maria Teresa | |
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Lorenzo Zambotti, Sorbonne Université, Parigi
Regularity structures: from physics to probability, from analysis to algebra, from combinatorics to geometry
Lunedì 28 Ottobre 2019, ore 16:00
U3-07 dell'edificio U3 (piano terra, Piazza della Scienza), Università di Milano-Bicocca, in Via Cozzi 55 | |
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Paul H. Rabinowitz, University of Wisconsin, Madison
Mountain pass structure, non-degeneracy conditions and variational gluing
Venerdì 20 Settembre 2019, ore 14:00
Sala di Rappresentanza, Via C. Saldini 50 | |
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Radu Laza, Stony Brook
The LLV decomposition for hyper-Kaehler cohomology
Venerdì 12 Luglio 2019, ore 14:30
Sala di Rappresentanza, Via C. Saldini 50 |
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Abstract
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Looijenga—Lunts and Verbitsky (LLV) have shown that the cohomology of
a compact hyper-Kaehler manifold admits the action of a big Lie
algebra g, generalizing the usual sl(2) Hard Lefschetz action. We
compute the LLV decomposition of the cohomology for the known classes
of hyper-Kaehler manifolds (i.e. K3^n, Kim_n, OG6, and OG10). As an
application, we easily recover the Hodge numbers of the exceptional
example OG10. In a different direction, we establish the so-called
Nagai’s conjecture (on the nilpotency index for higher degree
monodromy operators) for the known cases. More interestingly, based
on the known examples, we conjecture a new restriction on the
cohomology of compact hyper-Kaehler manifolds, which in particular
implies the vanishing of the odd cohomology as soon as the second
Betti number is large enough relative to the dimension.
This is joint work with M. Green, Y. Kim, and C. Robles.
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Lorenzo Giacomelli, Università La Sapienza, Roma
The mathematics of spreading droplets
Lunedì 24 Giugno 2019, ore 16:30 precise
Sala Consiglio, 7 piano, Edificio La Nave, Via Ponzio 31-33 | |
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