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Emmy-Noether-Seminar

Mai 24
24-05-2019 14:30 Uhr bis 15:30 Uhr
Raum 04.363, Cauerstraße 11, Erlangen

Quadratic refinements of enumerative problems

Marc Levine (Essen)

Abstract: Using a variety of methods, ranging from classical algebraic geometry to modern motivic homotopy theory, a number of classical enumerative invariants, such as Euler characteristics or counts of rational curves, have been refined to invariants in the Grothendieck-Witt ring of quadratic forms. These refinements yield the classical invariants by taking the rank and signature over the reals. We illustrate the theory with a number of examples.