代数曲线曲面及应用研讨会-大连理工大学数学科学学院(新)
大连理工大学数学科学学院
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代数曲线曲面及应用研讨会

2017年12月01日 09:06  点击:[]

 

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:129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:129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:129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:129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:129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

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