Department Colloquium: Random plane geometry and the RSK correspondence
- Event Type
- Seminar/Symposium
- Sponsor
- Department of Mathematics
- Location
- Altgeld 245
- Date
- Mar 13, 2025 4:00 pm
- Speaker
- Balint Virag (Toronto)
- Views
- 84
- Originating Calendar
- Mathematics Colloquium & Named Lectures
Abstract: Assign a random length of 1 or 2 to each edge of the square grid based on independent fair coin tosses. The resulting random geometry, first passage percolation, is conjectured to have a scaling limit. Most random plane geometric models (including hidden geometries) should have the same scaling limit.
I will explain the basics of the limiting geometry, the "directed landscape", the central object in the class of models named after Kardar, Parisi and Zhang. Its construction is a version of the Robinson-Schensted-Knuth correspondence, first introduced in 1938 as a tool in representation theory.