|COOKIES: By using this website you agree that we can place Google Analytics Cookies on your device for performance monitoring.|
Curve counting on surfaces
If you have a question about this talk, please contact Caucher Birkar.
Counting nodal curves in (sufficiently ample) linear systems |L| on smooth projective surfaces S is a problem with a long history. The Göttsche conjecture, now proved by several people, states that these counts are universal and only depend on c_1(L)2, c_1(L)⋅c_1(S), c_1(S)2 and c_2(S). We link this classical curve count to certain Gromov-Witten and stable pair invariants (with many point insertions) on S. This can be see as version of the MNOP conjecture for the canonical bundle K_S. Dropping the ``sufficiently ample’’ condition on L, we show stable pair invariants of S can still be computed and are also universal and topological. This is joint work with R. P. Thomas.
This talk is part of the Algebraic Geometry Seminar series.
This talk is included in these lists:
Note that ex-directory lists are not shown.
Other listsTopological Solitons Chromatin and epigenetics: from mechanism to function Cosmology, Astrophysics and General Relativity
Other talksRare Metabolic Disorders: detection, research, management and treatment The Science of Pain and its Management 2016 tbc Enzyme Activation through Ligand Binding Is the crystallisation of pharmaceutical molecules controlled by thermodynamics or kinetics? TBC