6-10 March 2017
Mainz Institute for Theoretical Physics, Johannes Gutenberg University
Europe/Berlin timezone

From de Jonquières' counts to cohomological field theory

9 Mar 2017, 14:00
45m
02.430 (Mainz Institute for Theoretical Physics, Johannes Gutenberg University)

02.430

Mainz Institute for Theoretical Physics, Johannes Gutenberg University

Staudingerweg 9 / 2nd floor, 55128 Mainz

Speaker

Mara Ungureanu

Description

Enumerative geometry is an old subject with roots in the 19th century whose aim is to count the number of geometric objects of a certain type that satisfy given conditions. Advances in both mathematics, and unexpectedly, mathematical physics have led to the resolution of many of its conjectures and have highlighted new deep connections between mathematics and string theory. In this talk I will describe a classical enumerative problem, namely de Jonquières' count of certain prescribed hyperplane tangency conditions to a smooth curve embedded in projective space. I will then attempt to explain how this problem relates to certain ergodic dynamical systems and ultimately cohomological field theories.

Presentation Materials

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