CS&E Colloquium: Incidences and Tilings

The computer science colloquium takes place on Mondays from 11:15 a.m. - 12:15 p.m. This week's speaker, Pavlo Pylyavskyy (UMN School of Mathematics), will be giving a talk titled "Incidences and Tilings"

Abstract

We show that various classical theorems of real/complex linear incidence geometry, such as the theorems of Pappus, Desargues, Möbius, and so on, can be interpreted as special cases of a single "master theorem" that involves an arbitrary tiling of a closed oriented surface by quadrilateral tiles. This yields a general mechanism for producing new incidence theorems and generalizing the known ones. This is joint work with Sergey Fomin.

 

Biography

Professor Pavlo Pylyavskyy is a mathematician at the University of Minnesota–Twin Cities whose research in algebraic combinatorics bridges geometry, representation theory, and combinatorics with applications spanning physics, statistics, and data science. Since joining the faculty in 2010, he has authored over 40 research papers on topics including geometric configurations, geometric crystals, and solitons, while mentoring fourteen graduate students and postdoctoral associates. His contributions to mathematics research and education have been recognized with a Sloan Fellowship (2013), an NSF CAREER Award (2014), and most recently a Simons Fellowship, making him the twelfth School of Mathematics professor at Minnesota to receive this prestigious honor since the program's inception in 2012.

Category
CS&E Colloquium
pavlo pylyavskyy headshot
Start date
Monday, Oct. 27, 2025, 11:15 a.m.
End date
Monday, Oct. 27, 2025, 12:15 p.m.
Location

Keller Hall 3-180

Share