Student Algebraic Geometry Seminar

from Monday
January 01, 2018 to Thursday
May 31, 2018
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Friday
February 09, 2018

2:30 PM - 3:30 PM
Math Tower 5-127
Ben Wu, Stony Brook University
Pluricanonical forms and Gorenstein varieties

For a smooth variety, the canonical bundle is defined to be the line bundle which is the determinant of the cotangent bundle. A canonical divisor is a divisor whose associated line bundle is the canonical bundle. For normal varieties, we still have a notion of canonical divisor despite the presence of singularities. However, the sheaf associated to this canonical divisor may fail to be locally free, i.e. is not a line bundle. When the sheaf associated to some multiple of the canonical divisor on a normal variety is locally free, the variety is called Q-Gorenstein. In this talk, we will discuss how to define the canonical divisor on normal varieties and its associated sheaf and will discuss examples and non-examples of Q-Gorenstein varieties.


Friday
February 16, 2018

2:30 PM - 3:30 PM
Math Tower 5-127
Ying Hong Tham, Stony Brook University
Canonical and terminal singularities with examples

In this talk, we will pick up the discussion after last week's introduction to Q-Gorenstein varieties. We will introduce the notion of canonical and terminal singularities on such varieties, giving some motivating examples to illustrate some of the general behaviors exhibited.


Friday
February 23, 2018

2:30 PM - 3:30 PM
Math Tower 5-127
Sasha Victorova, Stony Brook University
Canonical models, minimal models and their singularities

In this talk we will run with the definitions of canonical and terminal singularities from last week and use them to give definitions of canonical and minimal models of (quasi-)projective varieties. As usual we will turn to examples to motivate the main ideas.


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