Carə tuttə,
Il seminario di geometria di questa settimana si terrà Giovedì 9 Maggio alle 16.00 in Aula Seminari. Peter Smillie (Universität Heidelberg) parlerà di "Big minimal surfaces in symmetric spaces". Di seguito l'abstract.
A well-known collection of problems in differential geometry reduce to the study of minimal surfaces in Riemannian symmetric spaces of non-compact type. In general, the derivative of the inclusion of a minimal surface is a holomorphic section of a certain vector bundle — what is special about symmetric spaces is that one can often recreate the minimal surface from this holomorphic data, through what is called the non-Abelian Hodge correspondence. This often lets you describe the moduli space of all minimal surfaces in an interesting way. However, this process of recreating the minimal surface still involves solving an elliptic PDE, and so precise questions require elliptic estimates. In this talk, I will try to describe the idea behind the basic interior estimate of Mochizuki and Simpson and some of its applications, and also tell you about a new version of this estimate with weaker hypotheses and weaker conclusions. This is work in progress with Nathanial Sagman.
Ci troveremo alle 13 in atrio per andare a pranzo con lo speaker. Vi segnalo anche il seminario di Combinatoria, Teoria di Lie e Topologia di giovedì 9 maggio, potenzialmente interessante per alcuni membri del gruppo: alle 14.45 in Aula Magna Andrei Neguţ (MIT) parlerà di "Braids and coherent sheaves". Di seguito l'abstract:
We will present a conjecture relating the affine Hecke category (an algebraic incarnation of annular braids) to coherent sheaves on the commuting variety. Joint work with Eugene Gorsky. This is an affine version of the conjecture (now a theorem) we proposed with Jacob Rasmussen that relates Khovanov homology to coherent sheaves on Hilbert schemes.
Le informazioni sui prossimi seminari si trovano sul sitohttps://www.dm.unipi.it/en/seminars/?category=653b522f8f0af760bdc42729.
Vi aspettiamo! Buona serata,
Filippo, Giovanni e Giuseppe