Department of

Mathematics


Seminar Calendar
for Graduate Student Algebraic Geometry Seminar events the year of Tuesday, October 20, 2020.

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More information on this calendar program is available.
Questions regarding events or the calendar should be directed to Tori Corkery.
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Wednesday, January 22, 2020

2:00 pm in 447 Altgeld Hall,Wednesday, January 22, 2020

Organizational Meeting

Sungwoo Nam (Illinois Math)

Abstract: We will have an organizational meeting for this semester. This involves making a plan for this semester and possibly choose a topic for a reading seminar. If you want to speak this semester, or are interested in a reading seminar, please join us and make a suggestion.

Wednesday, February 26, 2020

2:00 pm in 447 Altgeld Hall,Wednesday, February 26, 2020

Introduction to moduli spaces of sheaves

Sungwoo Nam (Illinois Math)

Abstract: This talk will be an introduction to moduli spaces of sheaves. We will see some motivating questions that lead to the study of moduli spaces of sheaves, and discuss examples telling us why the notion of stability is needed, even in the simplest case of vector bundles on curves. Then I will survey some results on moduli spaces of sheaves on surfaces, especially those of K3 and abelian surfaces and applications to holomorphic symplectic geometry.

Wednesday, March 4, 2020

2:00 pm in 447 Altgeld Hall,Wednesday, March 4, 2020

Deformation and Obstruction for moduli of sheaves

Lutian Zhao (Illinois Math)

Abstract: In this talk, Iíll introduce the deformation theory for moduli of sheaves,. Iíll give a proof for the description of tangent space of moduli of sheaves and the condition for which this moduli space is smooth. The final goal of this talk is to introduce the construction for Simpsonís moduli space of sheaves.