This seminar runs every Monday during the semester at 2PM in Hill 705. The current organizers are Jeff Kahn, Bhargav Narayanan, Swee Hong Chan, and Natalya Ter-Saakov.
If you wish to join our listserv, please email Natalya Ter-Saakov at nt399@math.rutgers.edu.
Click here for the abstract archive for this semester, and here for older abstracts.
Next Talk:
Date: March 23, 2026 at 2:00pm
Speaker: Sam Spiro (Georgia State)
Title: Generalized Tur\'an Problems for Trees and More
Abstract: Given a graph $H$ and a family of graphs $\mathcal{F}$, we define the generalized Tur\'an number $\mathrm{ex}(n,H,\mathcal{F})$ to be the maximum number of copies of $H$ in an $\mathcal{F}$-free graph on $n$ vertices. We prove a ``stability'' type result for generalized Tur\'an problems which relates the generalized Tur\'an number $\mathrm{ex}(n,H,\mathcal{F})$ to the classical Tur\'an number $\mathrm{ex}(n,\mathcal{F})$ whenever $H$ is a tree. We discuss some applications of this result, as well as some related work around the rational exponents conjecture for general graphs $H$. Joint work with Sean English.
March 23 --- Sam Spiro (Georgia State)
March 30 --- Jason Long (Squarepoint Capital)
April 20 --- Mutasim Mim (CUNY)
April 27 --- Hung-Hsun Yu (Princeton)