Plus-pure and F-pure thresholds: comparison and bounds in the hypersurface case.

Ponente(s): Pedro Angel Ramírez Moreno

The plus-pure threshold is a mixed characteristic analog of the F-pure threshold in prime characteristic. In this talk, we will focus primarily on the plus-pure thresholds of certain hypersurfaces. We will compare their behavior to that of the corresponding F-pure thresholds, highlighting both similarities and key differences. Finally, we will present bounds for the plus-pure thresholds in these cases. This talk is based on joint work with Marta Benozzo, Vignesh Jagathese, Vaibhav Pandey, Karl Schwede, and Prashanth Sridhar.