Department of Mathematics - Master Calendar

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Graph Theory and Combinatorics Seminar

Event Type
Seminar/Symposium
Sponsor
Department of Mathematics
Location
111 Gregory Hall
Date
Sep 12, 2023   1:00 pm  
Speaker
Ethan White (UIUC)
Contact
Peter Bradshaw
E-Mail
pb38@illinois.edu
Phone
217-898-4426
Views
34
Originating Calendar
Combinatorics Research Area Calendar

Speaker: Ethan White (UIUC)

Title: Extremal configurations in the plane

Abstract: Many central problems in extremal geometry can be phrased by fixing a property P held by k-tuples of points, and then asking for how many k-tuples in a set of n points does the property P hold. Two problems in this class are the Erdos unit-distance problem, and a problem of Pach and Sharir on unit-perimeter triangles. We will discuss new results on these problems. In the former problem we characterize the structure of point sets with many unit-distances, and in the later we present significantly improved lower bounds on the number of unit-perimeter triangles.

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