Vesna Stojanoska: Arithmetic duality for generalized cohomology theories

Poitou-Tate duality is a duality for the Galois cohomology of finite modules over the absolute Galois group of a global field. This arithmetic duality is reminiscent of Poincaré duality for manifolds familiar to topologists. In joint work with Tomer Schlank we upgrade it to a duality for generalized cohomology theories with action by such an absolute Galois group. We believe this upgraded duality should lead to a better understanding of rational points on algebraic varieties.