IPM Calendar 
Sunday 22 May 2022   Today  
Events for day: Thursday 11 November 2021    
           11:00 - 13:00     Commutative Algebra Webinar
Extremal Singularities


What is the most singular possible singularity? What can we say about its geometric and algebraic properties? This seemingly naive question has a sensible answer in characteristic p. The ``$F$-pure threshold", which is an analog of the log canonical threshold, can be used to ``measure" how bad a singularity is. The $F$-pure threshold is a numerical invariant of a point on (say) a hypersurface---a positive rational number that is $1$ at any smooth point (or more generally, any F-pure point) but less than one in general, with ``more singular" points having smaller $F$-pure thresholds. We explain a recently proved lower bound on the F-pu ...