Degenerate CR singularities and polynomial convexity of real submanifolds in C^n

par Purvi Gupta (Indian Institute of Science)

lundi 26 mai 2025, 11:00 → 12:00 Europe/Paris

Salle de réunion Fizeau (LJAD)

We will discuss some notions of degeneracy for CR singularities of an m-dimensional real submanifold M in Cⁿ, when m≥2(n+1)/3. Our geometric interpretation of these degeneracies allows us to compute the dimensions of the loci of such degeneracies when M is in general position. This yields an application to the problem of finding the minimum complex dimension n such that all closed m-dimensional real manifolds admit polynomially convex embeddings into Cⁿ. This is joint work with Rasul Shafikov.