Joint Seminar on Complex Algebraic Geometry and Complex Analysis
The next session of the Joint Seminar will take place in Bochum, with the following speakers:
Stéphanie Cupit-Foutou (Bochum), Toric quantum stacks: some review, a generalisation
Bingxiao Liu (Köln), Toeplitz-Fubini-Study forms and lowest eigenvalues of Toeplitz operators
Jörg Schürmann (Münster), Equivariant toric geometry and Euler-Maclaurin formulae
Further information can be found on the following webpage: (link).
Shang Li (Paris), Wonderful compactification over an arbitrary base scheme
Abstract: Wonderful compactifications of adjoint reductive groups over an algebraically closed field play an important role in algebraic geometry and representation theory. In this talk, we will construct an equivariant compactification for adjoint reductive groups over arbitrary base schemes, which parameterize classical wonderful compactifications of De Concini and Procesi as geometric fibers. Our construction is based on a variant of the Artin–Weil method of birational group laws. In particular, our construction gives a new intrinsic construction of wonderful compactifications. If time permits, we will also discuss several applications of our compactification in the study of torsors under reductive group schemes.
Johanna Bimmermann (RUB), Capacities of disk tangent bundles
Abstract: In general rather little is known about symplectic capacities of open subsets of cotangent bundles. In this talk I will discuss methods to compute the Gromov width and the Hofer—Zehnder capacity of disk tangent bundles and demonstrate these methods for certain homogenous spaces (namely spheres and projective spaces). The key observation is that in these cases the disk bundle sits as complement of a divisor inside a coadjoint orbit. This makes it possible to explicitly construct symplectic embeddings of balls for the lower bound and find non-vanishing Gromov—Witten invariants for the upper bound.
