作者姓名：editor web

Speaker: Fei Si (Xi’an Jiaotong University) Abstract: Cohomology of moduli spaces of 1 dimensional sheaves on del Pezzo surfaces X is expected to refine enumerative geometry of the local Calabi-Yau 3-folds Tot(ω_X). On the one hand, the normalized generators of the cohomology of moduli space will induce Chern filtration on the cohomology. On the other …

SIMIS Seminar on Algebraic Geometry: COHOMOLOGICAL ASPECT OF MODULI OF 1D SHEAVES ON SURFACES 查看全文 »

Speaker: Andrea Seppi (the Institut Fourier of Grenoble) Abstract: The Asymptotic Plateau Problem in the hyperbolic space is the problem of existence of minimal surfaces with a prescribed Jordan curve as a boundary “at infinity”. Since the work of Anderson in the 1980s, it is known to have a solution, which is however in general …

Geometry and Topology Seminar of Fudan & Simis: Uniqueness and non-uniqueness for the Asymptotic Plateau Problem in hyperbolic three-space 查看全文 »

Lecturer: Tianqing Zhu (YMSC, Tsinghua) Abstract: K-theoretic quasimap counting to quiver varieties is one of the core subject in the enumerative geometry. It turns out that it is connected to the representation theory of the Maulik-Okounkov quantum affine algebra via the stable envelopes. It has long been conjectured that the Maulik-Okounkov quantum affine algebra is …

Mini course on theoretical and mathematical physics: Quantum toroidal algebras, quantum difference equations and stable envelopes 查看全文 »

Speaker: Liang Guo Host: Huaxin Lin Abstract: In this talk, we will introduce a notion of a coarse algebra associated with a metric space, and construct the twisted Roe algebras and a twisted coarse Baum-Connes assembly map associated with this coarse algebra. We will cover basic properties of the twisted Roe algebras and the K-theory …

An operator algebras seminar at SIMIS: Twisted Roe algebras and their K-theory 查看全文 »

Speaker: Thomas Strobl Abstract: Koszul-Tate resolutions are the key ingredient in the Batalin-Vilkovisky (BV) and the Batalin-Fradkin-Vilkovisky (BFV) formalisms. Such resolutions have been known explicitly only in a very limited number of cases. And while the Tate algorithm shows existence, it almost always leads to an infinite amount of computations to be performed. We provide …

Decorated trees for Koszul-Tate resolutions and ghosts 查看全文 »

Host: Chongqing Cheng Abstract: A series of seminars on some issues related to Hamiltonian dynamical systems. Time: 14:00~16:00, Thursday (every week, since Sept. 26) Location: Room 1310, Block A, No. 657 Songhu Road, Yangpu District, Shanghai

Speaker: Ruxuan Zhang (SCMS, Fudan University) Abstract: The D-equivalence conjecture predicts that birational Calabi–Yau varieties have equivalent bounded derived category of coherent sheaves. We proved that this conjecture holds for any hyperKähler varieties of K3[n]-type. The proof relies on Markman’s projectively hyperholomorphic bundles, which are constructed from BKR equivalences. Firstly, I will talk about some …

SIMIS Seminar on Algebraic Geometry: ON THE D-EQUIVALENCE CONJECTURE FOR HYPER-KÄHLER VARIETIES 查看全文 »

Speaker: Hang Yuan (BIMSA) Abstract: Given a Lagrangian fibration, we propose that the dual torus fibration, for a precise formulation of the SYZ conjecture, should be interpreted as a non-Archimedean torus fibration defined over the Novikov field. This proposal comes from a toy model of the SYZ duality between the complex logarithm map and the …

SIMIS Seminar on Derived and Noncommutative Geometry: On a mathematical formulation of Strominger-Yau-Zaslow conjecture 查看全文 »

Speaker: Guodong Zhou (East China Normal Univeristy) Abstract: A conjecture due to Y. Han asks whether that Hochschild homology groups of a finite dimensional algebra defined over an algebraically closed field vanish for sufficiently large degrees would imply that the algebra is of finite global dimension. We present two approached for this conjecture, one via …

SIMIS Seminar on Derived and Noncommutative Geometry: Recent advaces on Han’s conjecture 查看全文 »