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