Study Group on Topological K-Theory
CUNY Graduate CenterFall 2024
Fridays, 10:30 AM - 11:30 AM
Co-organizing with David Pham
Please email me if you are interested in attending the seminar.
Upcoming Seminars
Date: December 20, 2024
Speaker: David Pham (QCC)
Title: Curvatures on reductive homogeneous manifolds
Abstract: We will study curvatures on reductive homogeneous manifolds.
Date: February 14, 2025
Speaker: Fei Ye (QCC)
Title: Positivities of Vector Bundles
Abstract: We will overview different notions of positivity of vector bundles which include Griffiths positivity, Nakano positivity, Demailly positivity and algebro-geometric positivity. We will also discuss the relationship between these notions.
Past Seminars
Date: December 13, 2024
Speaker: David Pham (QCC)
Title: Reductive homogeneous manifolds and $G$-invariant connections
Abstract: We will study $G$-invariant connections on reductive homogeneous manifolds.
Date: December 6, 2024
Speaker: David Pham (QCC)
Title: A Review of the Samelson Construction
Abstract: We will review the construction of a left-invariant integrable almost complex structure on a Lie group $G$ via Samelson’s construction.
Date: November 15, 2024
Speaker: David Pham (QCC)
Title: Definition and Properties of Characteristic Classes - II
Abstract: We will define characteristic classes in terms of the curvature of a connection. We will show that a characteristic classes is a cohomology class and independent of the choice of connection.
Date: November 8, 2024
Speaker: David Pham (QCC)
Title: Definition and Properties of Characteristic Classes - I
Abstract: We will define characteristic classes in terms of the curvature of a connection. We will show that a characteristic classes is a cohomology class and independent of the choice of connection.
Date: November 1, 2024
Speaker: David Pham (QCC)
Title: Introduction to Curvatures
Abstract: We will discuss the notion of curvature in the context of differential geometry and deduce the curvature tensor from the Levi-Civita connection.
Date: October 25, 2024
Speaker: David Pham (QCC)
Title: Organization Meeting
Abstract: We will follow Hatcher’s book on K-theory. The first meeting will be an organization meeting.