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Department of Mathematics,
University of California San Diego

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Combinatorics Seminar

Professor Ferdinand Ihringer

The Structure of Large Intersecting Families in Vector Spaces

Abstract:

The classical EKR theorem states that the largest intersecting family of k-uniform subsets of an n-element set consists of all k-sets through a fixed element. More generally, it is known that large intersecting families are locally concentrated. So far such characterization results are missing for intersecting families of subspaces in vector. We will describe ongoing work which closes this gap in the literature. Joint work with Andrey Kupavskii.

February 5, 2026

2:00 PM

HSS 4025

Research Areas

Combinatorics

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