Student Algebraic Geometry Seminar

from Thursday
June 01, 2017 to Sunday
December 31, 2017
Show events for:
Instructions for subscribing to Stony Brook Math Department Calendars

Friday
September 01, 2017

2:30 PM - 3:30 PM
Math Tower 5-127

Organizational Meeting

We will decide on the topic(s), speakers and meeting time for the seminar going forward.


Friday
September 08, 2017

2:30 PM - 3:30 PM
Math Tower 5-127
Nathan Chen, Stony Brook University
Introduction to abelian varieties

In this talk we will introduce abelian varieties, take a first look at their basic properties and discuss some examples.


Friday
September 15, 2017

2:30 PM - 3:30 PM
Math Tower 5-127
Dahye Cho, Stony Brook University
Introduction to singularities in algebraic geometry

We will give a basic introduction to the notion of singular points on an algebraic variety and begin investigating the local structure of the variety near such points. For today, we will focus on a number of examples of hypersurface singularities and some of their fundamental invariants.


Friday
September 22, 2017

2:30 PM - 3:30 PM
Math Tower 5-127
Marlon de Oliveira Gomes, Stony Brook University
Puiseux series for plane curve singularities

Given a singular, plane algebraic curve, we will describe a method to find a holomorphic parametrization of a neighborhood of a singular point, the Puiseux expansion of the curve near the singularity. I will describe examples of formal computations of Puiseux series, and prove that such series converge. Time permitting, we will describe the relation between Puiseux expansions and resolutions of plane curve singularities.


Friday
September 29, 2017

2:30 PM - 3:30 PM
Math Tower 5-127
Ying Hong Tham, Stony Brook University
Puiseux pairs with a view to topological invariants

Ee will recall some of the definitions from last week and continue our study of Puiseux series of plane curves. We will introduce Puiseux pairs, compute some examples and, time allowing, investigate their relation to the topology near the singularity.


Friday
October 06, 2017

2:30 PM - 3:30 PM
Math Tower 5-127
Charlie Cifarelli, Stony Brook University
Facts on curves and a view towards surface singularities

Having now spent some time investigating singularities of curves in the plane, we will discuss some other important facts about algebraic curves and group actions on them that will set the scene for our study of quotients of the affine plane - the model for our first nice class of surface singularities.


Show events for:
Instructions for subscribing to Stony Brook Math Department Calendars