Geometric Structures - Khazhgali Kozhasov - Mar 9 - 4:15 pm (Rome Time)

[Miruna - Stefana Sorea]

Dear All, 

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

Speaker: KHAZHGALI KOZHASOV  [1]( [1]Technische Universität Braunschweig
[1]) [1] 

Title:  On minimality of determinantal varieties 

Time: March 9, 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:  

Minimal submanifolds are mathematical abstractions of soap films: they
minimize the Riemannian volume locally around every point. Finding
minimal algebraic hypersurfaces in _𝑅__𝑛_ for each n is a long-standing
open problem posed by Hsiang. In 2010 Tkachev gave a partial solution to
this problem showing that the hypersurface of n x n real matrices of
corank one is minimal. I will discuss the following generalization of
this fact to all determinantal matrix varieties: for any m, n and r<m,n
the (open) variety of m x n real matrices of rank r is minimal. More
generally, I will show that real tensors of fixed multi-linear rank form
a minimal submanifold in the Euclidean space of all tensors of a given
format. The talk is partially based on a joint work with A. Heaton and
L. Venturello. 

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%2Fwww.tu-braunschweig.de%2Fiaa%2Fpersonal%2Fkozhasov&sa=D&sntz=1&usg=AFQjCNFa5LtCIGqbtXgpY-SKIXWkEhonQQ
[2]
https://sissa-it.zoom.us/j/85675591787?pwd=TUo2VXpmcEhOU1paRzBXUWp2MU1odz09
[3] https://sites.google.com/view/geometric-structures/