Geometric Structures - Jan Draisma - April 27 - 4:30 pm (Rome Time)

[Miruna - Stefana Sorea]

Dear All, 

This is to announce the next seminar from the series "Geometric
Structures". 

Please note the exceptional change of schedule (at 4:30 pm). 

Speaker: JAN DRAISMA [1](Universität Bern) [1] 

Title:  Infinite-dimensional geometry with symmetry 

Time: April 27, 2021, 4:30 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:  

Most theorems in finite-dimensional algebraic geometry break down in
infinite dimensions---for instance, the polynomial ring C[x_1,x_2,...]
is not Noetherian. However, it turns out that some results do survive
when a sufficiently large symmetry group is imposed; e.g., ideals in
C[x_1,x_2,...] that are preserved under all variable permutations do
satisfy the ascending chain condition. 

This phenomenon is relevant in pure and applied mathematics, since many
algebraic models come in infinite families with highly symmetric
infinite-dimensional limits. Here the symmetry is typically captured by
either the infinite symmetric group or the infinite general linear
group. Theorems about the limit imply uniform behaviour of the members
of the family. 

I will present older and new results in this area, along with
applications to algebraic statistics, tensor decomposition, and
algebraic combinatorics. 

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%2Fmathsites.unibe.ch%2Fjdraisma%2F&sa=D&sntz=1&usg=AFQjCNF26Ev5DDChl_EAw5zxQLbNpxogUA
[2]
https://sissa-it.zoom.us/j/85675591787?pwd=TUo2VXpmcEhOU1paRzBXUWp2MU1odz09
[3] https://sites.google.com/view/geometric-structures/