Algebraic and Analytic Methods in Combinatorics: Reflection groups in extremal graph theory
Presenter
March 18, 2025
Keywords:
- extremal combinatorics
- extremal graph theory
- probabilistic combinatorics
- discrete geometry
- additive combinatorics
- combinatorial geometry
- incidence geometry
- arithmetic progressions
- Discrete analysis
MSC:
- 05C25 - Graphs and abstract algebra (groups rings fields
- etc.) [See also 20F65]
- 05C35 - Extremal problems in graph theory [See also 90C35]
- 05C50 - Graphs and linear algebra (matrices eigenvalues etc.)
- 05D40 - Probabilistic methods in extremal combinatorics including polynomial methods (combinatorial Nullstellensatz etc.)
- 52C35 - Arrangements of points flats hyperplanes (aspects of discrete geometry) [See also 14N20 32S22]
Abstract
In this talk, we describe how finite reflection groups naturally arise in connection to a variety of themes in extremal graph theory, including Sidorenko's conjecture, graph norms and extremal numbers. Joint work with Jisun Baek and Joonkyung Lee.