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