Toric polynomial generators in the unitary cobordism ring

Thursday, December 10, 2015 -
3:00pm to 4:00pm
It is well-known that the unitary cobordism ring Omega^* is isomorphic to the polynomial ring with one generator in every even degree. However explicit description of 'nice' representatives of the generators turns out to be a difficult problem. In this talk we aim at constructing connected algebraic toric polynomial generators of Omega^*. Recently large progress in this problem was obtained by Andrew Wilfong: he provided polynomial generators in all odd dimensions and dimensions one less than prime power.  We resolve the problem in the remaining dimensions by applying certain birational equivariant modifications to the P^k-bundles over P^{n-k} (generalized 2-stage Bott towers).
Yury Ustinovsky
Princeton University
Event Location: 
Fine Hall 214