Geometric Structures - Michele Stecconi - May 4 - 4:15 pm (Rome Time)

[Miruna - Stefana Sorea]

Dear All, 

This is a reminder of today's seminar from the series "Geometric
Structures".

Speaker: MICHELE STECCONI  [1](Université de Nantes) [1] 

Title: Semicontinuity of Betti numbers: A little surgery cannot kill
homology 

Time: May 4, 2021, 4:15 pm (Rome Time)  

Venue: from remote only, on zoom at this link 
https://sissa-it.zoom.us/j/85675591787?pwd=TUo2VXpmcEhOU1paRzBXUWp2MU1odz09
[2]
Passcode: geometry

Abstract:  

A consequence of Thom Isotopy Lemma is that the set of solutions of a
regular smooth equation is stable under C^1-small perturbations (it
remains isotopic to the original one), but what happens if the
perturbation is just C^0-small? In this case, the topology of the set of
solution may change. However, it turns out that the Homology groups
cannot "decrease". In this talk I will present such result and some
related examples and applications. This theorem is useful in those
contexts where the price to pay to approximate something in C^1 is
higher than in C^0. For instance in the search for quantitative bounds
(here the price can be the degree of an algebraic approximation) or in
combination with Eliashberg's and Mishachev's holonomic approximation
Theorem (which is C^0 at most). 

More information can be found here:
https://sites.google.com/view/geometric-structures/ [3] 

Everyone is welcome! 
-- 
_Miruna-Stefana Sorea_
_Postdoctoral Researcher_
_Scuola Internazionale Superiore di Studi Avanzati (SISSA), Trieste,
Italy_
_HTTPS://SITES.GOOGLE.COM/VIEW/MIRUNASTEFANASOREA/_ 

Links:
------
[1]
https://www.google.com/url?q=https%3A%2F%2Fmichelestecconi.wordpress.com%2F&sa=D&sntz=1&usg=AFQjCNEgFk3LgCKWlNpeQ6zM7v8rxXUOcw
[2]
https://sissa-it.zoom.us/j/85675591787?pwd=TUo2VXpmcEhOU1paRzBXUWp2MU1odz09
[3] https://sites.google.com/view/geometric-structures/