Geometric Structures seminar - Paweł Nurowski - Monday September 4th, 2023, at 11:00 a.m. (Rome Time) - both in-presence in room 134 at SISSA and streamed on Zoom

[Miruna-Ştefana Sorea]

Dear All,

This is to remind you of today's seminar from the series "Geometric Structures".

Speaker: Paweł Nurowski (Center for Theoretical Physics, Warsaw, Poland) <https://www.fuw.edu.pl/~nurowski/>

Title:  Exceptional real Lie algebras $f_4$ and $e_6$ via contactifications
Time: Monday September 4th, 2023, at 11:00 a.m. (Rome Time)
Venue: both in-presence in room 134 at SISSA and streamed on Zoom
on zoom at this link:
https://sissa-it.zoom.us/j/85675591787?pwd=TUo2VXpmcEhOU1paRzBXUWp2MU1odz09
Passcode: geometry

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Abstract:
In Cartan's PhD thesis, there is a formula defining a certain rank 8 vector distribution in dimension 15, whose algebra of authomorphism is the split real form of the simple exceptional complex Lie algebra $f_4$. Cartan's formula is written in the standard Cartesian coordinates in $\mathbb{R}^{15}$. In the talk I will explain how to find analogous formula for the flat models of any bracket generating distribution $D$ whose symbol algebra $n(D)$ is constant and 2-step graded, $n(D) = n−2 \oplus n−1$. I will use the general formula to provide other distributions with symmetries being real forms of simple exceptional Lie algebras $f_4$ and $e_6$.
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More information can be found here: https://sites.google.com/view/geometric-structures/

Everyone is welcome!


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Dr. Miruna-Stefana Sorea
Postdoctoral Researcher
Scuola Internazionale Superiore di Studi Avanzati (SISSA), Trieste, Italy
https://sites.google.com/view/mirunastefanasorea/