会议室预约入口
"智能计算与应用"同济大学数学中心
English
学术报告
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On the Semistable Reductions of Hyperelliptic CurvesGiven a surface fibration over ℂ of genus , the semistable reduction theorem asserts there is a finite morphism so that the base change of over admits a semi-stable model. The smallest degree, denoted by , of all such is called the stable inde...2021年12月15日
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Sheaves on Non-Reduced Curves in a Projective SurfaceSheaves on non-reduced curves can appear in moduli spaces of 1-dimensional semistable sheaves over a surface, and moduli spaces of Higgs bundles as well. We estimate the dimension of the stack M_X(nC, \chi) of pure sheaves supported at the non...2021年12月15日
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Centre-Augmented L2-Type Regularization for Subgroup LearningThe existing methods for subgroup analysis can be roughly divided into two categories: finite mixture models (FMM) and regularization methods with an L1 -type penalty. In this paper, by introducing the group centres a...2021年12月15日
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The Geometry and Topology of Singular CurvesFibration is one of the most important tools to classify algebraic surfaces and to study moduli spaces. Singular fibers play an important role in the classifaction of fibrations. Many fibrations with remarkable arithmetic and geometric properties can ...2021年12月09日
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Gamma Conjecture I for Del Pezzo SurfacesConjecture O and the Gamma conjectures for Fano manifolds were proposed by Galkin, Golyshev and Iritani. Conjecture O is concerned with eigenvalues of an operator on the quantum cohomology of X induced by the quantum multiplication by the first Chern class...2021年12月09日
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On Smooth Complex Surfaces of General Type with Minimal Holomorphic Euler CharacteristicI will give a brief introduction to complex smooth surfaces of general type with holomorphic Euler characteristic χ(O) = 1. A complete classification of such sur- faces is still missing. I will foc...2021年12月09日
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Problems in Algebraic Theory Related to Lawson HomologyWe will review basic materials about the theory of algebraic cycles over the field of complex numbers and Lawson homology. Then we will talk about some interested problems (and their relations) of in the algebraic cycle theory in terms of the...2021年12月09日
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The I-Quantum Group U^I(N)I will report on a second paper with Yadi Wu. This paper investigates the i-quantum group U^i(n) and their associated q-Schur algebra of type C. I will make comparisons between the i-quantum groups U^j(n) and U^i(n) and q-Schur algebras S^j(n,r) and S^i(n,r) of type ...2021年12月07日
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非线性椭圆与抛物偏微分方程的Neumann边值问题我们回忆非线性椭圆偏微分方程的Dirichlet问题的可解性的简明历史，然后我们关心对应的Neumann边值问题。给出平均曲率方程与k-Hessian方程Neumann边值问题解的存在性。最后我们给出抛物偏微分方程的对应结果。2021年12月06日
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有限个S^3×S^3的连通和的几何我们将介绍这类流形上复结构与平衡度量的构造以及它们的几何应用。2021年12月06日
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