Mathematics Graduate Student Colloquium

MGSC Website: http://math.uci.edu/~mgsc/

On the Geometry of Solutions of the Sextic in Two Variables

Alex Sutherland
Monday, January 27, 2020
5:00 pm - 5:50 pm
RH 306

Talk Abstract:

Abel's theorem (1824) that the generic polynomial of degree n is solvable in radicals if and only if n is less than 5 is well-known. However, the classical works of Bring (1786) and Klein (1884) give solutions of the generic quintic polynomial by allowing certain other "nice" algebraic functions of one variable. For the sextic, it is conjectured that any solution requires algebraic functions of two variables. In this talk, we will examine and relate the intrinsic geometries of the known solutions of the sextic in two variables, extending the work of Green (1978).

About the Speaker:

Alex is a 4th year Ph.D candiate working at the intersection of topology and algebraic geometry. He is currently a 2019-2021 ARCS Foundation Scholar and was a 2019 Pedagogical Fellow.

Refreshments:

Pizza will be served after the talk.