Skip to main content
Skip to main menu Skip to spotlight region Skip to secondary region Skip to UGA region Skip to Tertiary region Skip to Quaternary region Skip to unit footer

Slideshow

Tags: Seminars

Title of talk: "Derived Categories, Arithmetic, and Rationality Questions" Abstract: When trying to apply the machinery of derived categories in an arithmetic setting, a natural question is the following: for a smooth projective variety X, to what extent can D(X) be used as an invariant to answer rationality questions? In particular, what properties of D(X) are implied by X being rational, stably rational, or having a rational point?…
Title of talk: "An arithmetic count of lines meeting four lines in P3" Abstract: Given four general lines in 3-dimensional space, a classical enumerative problem asks for the number of lines that intersect all four lines. Over an algebraically closed field the answer is 2. In this talk, we will work over arbitrary fields and show how to enrich this classical count to an equality in the Grothendieck-Witt group of the field. We will show how this…
Title of talk:  Moduli and degenerations of elliptic K3 surfaces
Title: Introduction to Morse Functions Abstract: In this talk we'll discuss very basic facts about Morse functions like Morse lemma, Morse functions & surgery and handle attachment, Morse-Smale dynamics etc.
Changho Han 2:30-3:00 Title: Moduli spaces of surfaces: geometric and arithmetic properties via examples. Abstract: Unlike moduli spaces of curves, properties of moduli spaces of surfaces are much less understood. I will introduce examples of moduli spaces of surfaces, where we can find not only geometric and arithmetic properties, but also applications outside of moduli spaces of surfaces. Arik Wilbert 3:00-3:30 Title: Knot invariants,…
  Title of talk: The Total Curvature and Betti Numbers of Complex Projective Manifolds Abstract: We will prove an inequality between the total curvature of a complex projective manifold and the sum of its Betti numbers, and we will characterize the complex projective manifolds whose total curvature is minimal. These results extend the classical theorems of Chern and Lashof to complex projective space. As we prove these results, we will…
Title: To be announced

Support us

We appreciate your financial support. Your gift is important to us and helps support critical opportunities for students and faculty alike, including lectures, travel support, and any number of educational events that augment the classroom experience. Click here to learn more about giving.

Every dollar given has a direct impact upon our students and faculty.