Latest News

Guillermo gives a presentation at TU Berlin

Guillermo Pineda Villavicencio gave a seminar at TU Berlin on the 17th of September.

Title: Lower bound theorems on the face numbers of polytopes with few vertices

Abstract: We study lower bound theorems for the number of $k$-faces ($1\le k\le d-2$) of a $d$-dimensional polytope $P$ (or $d$-polytope) with up to $3d-1$ vertices. Earlier results include the following: Xue (2021) established the case of polytopes with at most $2d$ vertices; Xue (2022) and Pineda-Villavicencio and Yost (2022) independently settled the case of $2d+1$ vertices; and Pineda-Villavicencio, Tritama, and Yost (2024) extended this to $2d+2$ vertices.

Trill White attends Heidelberg forum

Congratulations to Trill White who will attend the 12-th Heidelberg forum from the 14th to the 19th of September.

Minicourse on Hodge Theory in Nonsmooth Settings

On 18, 20, 22nd August, Lashi Bandara gave an online minicourse at the Geometric Analysis and Related Fields seminar, organised by Sajjad Lakzian at Isfahan University of Technology. Recordings are available here.