Elliptic Fibration

  • Daniel Huybrechts, Mirko Mauri, Evans Lagrangian Torus fibration
  • Fujita Yoshida acyclic orbit

Morelli’s Theorem

Family

  • Moduli space of elliptic fibration of \(K_3\) surfaces is accessible complete 19 dimension or 3 dimension?
  • Boucksom Jonsson convergence of volume forms
  • Kota Hattori spectral convergence
  • Gross Wilson metric convergence

Homology

  • Compute homology of a tetrahedron, Maeyer Vietoris sequence.
  • Compute homology as the elliptic fibration converges to the singular tetrahedron in \(P_3\).
  • If elliptic curves intersect on convergence, it says something about the square but in homology should not show any difference in the entire family?
  • Do we see an integrable system? Local system?

K-Theory

  • Kasparov’s idea with isomorphism has been around: what is meant by the Fourier transform? Abelian, Non-Abelian, up to what order term?
  • Can we have one complex polarization and one real Lagrangian polarization to form a cobordism?
  • KK Theory local index means what index? What category? Thom isomorphism?

Dixmier Doaudy

  • William Graham, David Vogan
  • Miho Dikov

Matroid