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
