- Series
- Algebra Seminar
- Time
- Friday, October 5, 2018 - 2:00pm for 1 hour (actually 50 minutes)
- Location
- Skiles 005
- Speaker
- Jaiung Jun – University of Iowa – https://sites.google.com/site/jaiungjun0915/
- Organizer
- Philipp Jell
In this talk, we introduce rather exotic algebraic structures called
hyperrings and hyperfields. We first review the basic definitions and
examples of hyperrings, and illustrate how hyperfields can
be employed in algebraic geometry to
show that certain topological spaces (underlying topological spaces of
schemes, Berkovich analytification of schemes, and real schemes) are
homeomorphic to sets of rational points of schemes over hyperfields.