Event time:
Thursday, March 9, 2017 - 11:30am to 12:30pm
Location:
431 DL
Speaker:
Jaiung Jun
Speaker affiliation:
Binghamton University, State University of New York
Event description:
We introduce hyperrings and hyperfields. These are algebraic structures which generalize the classical commutative rings and fields. In this talk, we aim to introduce these rather exotic structures and illustrate several examples. We also discuss how hyperrings and hyperfields show up and fit into the classical theory, in particular, algebraic geometry and combinatorics. If time permits, we discuss how hyperfields can be used to reformulate some basic definitions of Berkovich’s theory of analytic spaces.