Speaker : Prof. Amon Besser (Ben-Gurion University, Israel)
Title : Finite polynomial cohomology and the computation of syntomic regulators
Time : 2017-10-13 (Fri) 13:30 - 15:45
Place : Seminar Room 617, Institute of Mathematics (NTU Campus)
Abstract: Syntomic regulators at the p-adic analogue of Beilinson regulators and they are connected with etale regulators and with special values of p-adic L-functions. Finite polynomial cohomology is a certain cohomological construction that may be viewed on the one hand as a higher dimensional generalization of Coleman integration and on the other hand as a tool for computation of syntomic regulators. In my talk I will review the constructions of syntomic and finite polynomial cohomologies, explain how the latter generalises Coleman integration and give some examples for computations using it like the Abel-Jacobi map of diagonal cycles due to Darmon and Rotger.