Courant Research Center Göttingen: Higher order structures in Mathematics

Junior research group "Algebraic geometry and topology"

Mentors

Karl-Henning Rehren, Thomas Schick, Yuri Tschinkel

Research goals are in particular

Research goals are in particular: topological quantum field theories and their moduli space, topological modular forms, string theory and its topological aspects (like T-duality), geometric Langlands; applications of the previous to physics, in particular to quantum field theory, rational points on higher dimensional varieties.

Methods include

homotopy theory of singular spaces, using higher order structures like gerbes, stacks, derived algebraic geometry, non-commutative geometry, tropical geometry.

Coordinator: Thomas Schick