LA Probability Forum

I will talk about sharp isoperimetric inequalities on the hypercube. In the second half of the talk I will present Talagrand's isoperimetric inequalities for functions taking values in a Banach space having finite cotype. If time permits several different new proofs of recently resolved Talagrand's conjecture will be presented.

This is joint work with David Beltran and José Ramón Madrid Padilla.