报告1

报告人：Tadashi Ashikaga (Tohoku-Gakuin University)

报告题目：Horikawa index of genus 3 with the strata of higher codimension

报告时间：12月9日（星期六）9:00--10:00

报告地点：创新园大厦A1101

报告摘要：We determine the Horikawa index of a genus 3 _ber germ whose moduli

point is contained in a higher codimensional strata of the moduli space by using an auto-

morphism of a stable curve and the theta function.

报告2

报告人：Kazuhiro Konno (Osaka University)

报告题目： Normal surface singularities and Yau cycles

报告时间：12月9日（星期六）10:20--11:20

报告地点：创新园大厦A1101

报告摘要：We shall work on the minimal resolution space of a normal surface singu-

larity. For the fundamental cycle on the exceptional set, one can associate a bigger cycle,

called the Yau cycle. We discuss how one can read the Gorenstein property of the singu-

larity from the Yau cycle.

报告3

报告人：Makoto Enokizono (Osaka University)

报告题目：Slope equality of plane curve fibrations

报告时间：12月9日（星期六）13:00--14:00

报告地点：创新园大厦A1101

报告摘要：In this talk, we give a slope equality for fibered surfaces whose general fiber

is a smooth plane curve. As a corollary, we prove a \strong" Durfee-type inequality for

isolated hypersurface surface singularities, which implies Durfee's strong conjecture for

such singularities with non-negative topological Euler number of the exceptional set of the

minimal resolution.

报告4

报告人：Cheng Gong (Soochow University)

报告题目：The Mordell-Weil groups of fibrations over $P^1$

报告时间：12月9日（星期六）14:10--15:10

报告地点：创新园大厦A1101

报告摘要：In this talk, we discuss the existence of a relatively minimal family of curves

$f : S \to P^1$. Moreover, we also give a upper bound of their Morell-Weil ranks. As an

application, we classify all Belyi families f of curves of genus $g _2$ with two singular fibers. We compute all sections of f and its Mordell-Weil group.

报告5

报告人：Guohui Zhao (Dalian University of Technology)

报告题目：Application of algebraic geometry in splines

报告时间：12月9日（星期六）15:20--16:20

报告地点：创新园大厦A1101

报告摘要：I n this talk I discuss the construction of simplex splines by Noether's theorem and application of splines in surface smoothing. In addition, if time permits,    I also discuss curves of constant width and their convolution