Dept Math & Stat UiT, Forskningsparken B459
  16 Nov 2023 Thu 14:00-15:00

Gereon Quick (NTNU)

"On counting and adding points quadratically"

The Brouwer degree of a map is a classical and fundamental invariant in topology. It may be defined by counting points in the fiber. By taking additional algebraic information of maps into account one can define a Brouwer degree in algebraic geometry. In my talk I will introduce the ideas and computations relevant for an algebraic Brouwer degree and will discuss why this is important. I will then report on joint work with Viktor Balch Barth, William Hornslien and Glen Matthew Wilson on how one can make certain abstractly defined group structures very explicit. My focus will be on presenting a general picture rather than the details.