Dawei Chen 
Title: Geometry of moduli spaces of differentials Abstract: Moduli spaces of differentials with a given type of zeros and poles on Riemann surfaces provide a stratification of the Hodge bundle, whose study has broad connections to flat geometry and billiard dynamics. In this talk we will introduce this topic from the perspective of an algebraic geometer, with a focus on recent results and open problems. 

Jack Huizenga 
Title: Properties of general sheaves on Hirzebruch surfaces Abstract: Let X be a Hirzebruch surface. Moduli spaces of semistable sheaves on X with fixed numerical invariants are always irreducible by a theorem of Walter. Therefore it makes sense to ask about the properties of a general sheaf. We consider two main questions of this sort. First, the weak BrillNoether problem seeks to compute the cohomology of a general sheaf, and in particular determine whether sheaves have the "expected" cohomology that one would naively guess from the sign of the Euler characteristic. Next, we use our solution to the weak BrillNoether problem to determine when a general sheaf is globally generated. A key technical ingredient is to consider the notion of prioritary sheaves, which are a slight relaxation of the notion of semistable sheaves which still gives an irreducible stack. Our results extend analogous results on the projective plane by GottscheHirschowitz and BertramGollerJohnson to the case of Hirzerbruch surfaces. This is joint work with Izzet Coskun. 
HsianHua Tseng 
Title: A tale of four theories Abstract: Around a decade ago the following four (C^*)^2equivariant theories are proven to be equivalent:

Xiaolei Zhao 
Title: Canonical points on K3 surfaces and hyperKahler varieties Abstract: The Chow groups of algebraic cycles on algebraic varieties have many mysterious properties. For K3 surfaces, on the one hand, the Chow group of 0cycles is known to be huge. On the other hand, the 0cycles arising from intersections of divisors and the second Chern class of the tangent bundle all lie in a one dimensional subgroup. A conjecture of Beauville and Voisin gives a generalization of this property to hyperKähler varieties. In my talk, I will recall these beautiful stories, and explain a conjectural connection between the K3 surface case and the hyperKähler case. If time permits, I will also explain how to extend this connection to Fano varieties of lines on some cubic fourfolds. This is based on a joint work with Junliang Shen and Qizheng Yin. 