Research Seminars @ Illinois

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Tailored for undergraduate researchers, this calendar is a curated list of research seminars at the University of Illinois. Explore the diverse world of research and expand your knowledge through engaging sessions designed to inspire and enlighten.

To have your events added or removed from this calendar, please contact OUR at ugresearch@illinois.edu

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)
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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.

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