Mathematics Colloquium

The topologies of random real algebraic hypersurfaces

Speaker: Peter Sarnak, IAS/Princeton University

Location: Warren Weaver Hall 1302

Date: Monday, May 13, 2019, 3:45 p.m.


The topology of a hyper-surface in P^n(R) of high degree can be very complicated .However if we choose the surface at random there is a universal law.  Little is known about this law and it appears to be dramatically different for n=2 and n>2 . There is a similar theory for zero sets of monochromatic waves which model nodal sets .

Joint work with Y.Canzani and I.Wigman