100, rue des maths 38610 Gières / GPS : 45.193055, 5.772076 / Directeur : Thierry Gallay

Antonion Lerario

Gap probabilities and applications to geometry and random topology
星期一, 26 五月, 2014 - 10:3011:30
Résumé : 

What is the volume of the set of singular symmetric matrices of norm one? What is the probability that a random plane misses this set? What is the expected "topology" of the intersection of random quadric hypersurfaces?
In this talk I will combine classical techniques form algebraic topology ("spectral sequences") with ideas from Random Matrix Theory and show how these problems can be solved using a local analysis of the "gap probability" at zero (the probability that a random matrix has a gap in its spectrum close to zero).

(This is joint work with E. Lundberg.)

Institution de l'orateur : 
Université Lyon 1
Thème de recherche : 
Algèbre et géométries
Salle : 
04
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