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Online Seminar on Algebraic and Complex Dynamics
 
09:00 - 11:00, December 13, 2022 (Tuesday)
broadcast in Room 505, Cosmology Bldg., NTU, Online seminar
(線上演講 於台大次震宇宙館505教室直播/收播)
Integral-affine Structures and Degenerations of K3 Surfaces
Philip Engel (University of Georgia)

Abstract

I will discuss a correspondence between degenerations of polarized K3 surfaces and integral-affine structures on the 2-sphere containing a weighted balanced graph. Under this correspondence, natural questions emerge about the dynamics of the straight line flow on integral-affine manifolds. We will explore (1) the relationship between closed trajectories and immersed elliptic curves in the K3 surface, and (2) the possibility of a tropical Yau-Zaslow formula for counting immersed trees.

Link Information

Zoom Meeting ID: 897 9522 8294
Passcode: 1.17628


 

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