The topologies of random real algebraic hypersufaces

Seminar | April 24 | 3-4 p.m. | 1011 Evans Hall

 Peter Sarnak, Princeton University and IAS

 Department of Statistics

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