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

Algebraic Geometry Seminar: Changho Han (UGA)

Boyd Room 302

Title: Moduli of 'almost K3' stable log surfaces, curves of genus 4, and degree 6 K3 surfaces with nonsymplectic Z/3Z group actions.

Abstract: Observe that any construction of "meaningful" compactification of moduli spaces of objects involve enlarging the class of objects in consideration. For example, Deligne and Mumford introduced the notion of stable curves in order to compactify the moduli of smooth curves of genus g. I will briefly introduce different realizations of smooth curves of genus 4, which gives a birational map between the moduli of alpha-stable curves, moduli of 'almost K3' stable log surfaces (where the underlying surfaces are rational), and the moduli of degree 6 K3 surfaces with nonsymplectic Z/3Z group action. Then, I will describe joint works with Anand Deopurkar that describes the moduli of 'almost K3' stable log surfaces via moduli of curves of genus 4. If time remains, I will introduce observations from the work in progress with Valery Alexeev, Anand Deopurkar, and Philip Engel on relation with the Baily-Borel compactifications of such K3 surfaces.

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.