A geometric view on SU-bordism

Taras Panov, Lomonosov Moscow State University

Zoom link: https://princeton.zoom.us/j/96282936122

The development of algebraic topology in the 1960s culminated in the description of the special unitary bordism ring. Most leading topologists of the time contributed to this result, which combined the classical geometric methods of Conner-Floyd, Wall and Stong with the Adams-Novikov spectral sequence and formal group law techniques that emerged after the fundamental 1967 work of Novikov. Thanks to toric topology, a new geometric approach to calculations with SU-bordism has emerged, which is based on representing generators of the SU-bordism ring and other important SU-bordism classes by quasitoric manifolds and  Calabi-Yau hypersurfaces in toric varieties.

The talk is based on joint work with Zhi Lu, Ivan Limonchenko and Georgy Chernykh.