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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 Read More »

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 Read More »

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 Read More »

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 Read More »

Speaker: Xuanlong Fu Host: Huaxin Lin Abstract: Let A be a simple separable unital stably finite nuclear C*-algebra with strict comparison. We show that every two nonzero ideals of the central sequence algebra of A contain a fast vanishing ideal. As a consequence, we show that the central sequence algebra of A is prime. This …

An operator algebras seminar at SIMIS: On primeness of central sequence algebras Read More »

Speaker: Artan Sheshmani (BIMSA) Abstract: We discuss construction of a derived Lagrangian intersection theory of closely related moduli spaces of perfect complexes, with support on divisors on compact Calabi Yau threefolds. Our goal is to compute deformation invariants associated to a fixed linear system of divisors in CY3. We degenerate the CY3 into a normal-crossing …

SIMIS Seminar on Derived and Noncommutative Geometry: Shifted symplectic structures on derived Quot Schemes, Degenerations and Categorification of DT invariants Read More »

Speaker: Jacob Kryczka (BIMSA) Abstract: Many moduli spaces in geometry and physics, like those appearing in symplectic topology, quantum gauge field theory and in relation to homological mirror symmetry, are constructed as parametrizing spaces of solutions to nonlinear differential operators modulo symmetries of the underlying theory. These spaces are often not smooth, with multi non-equidimensional …

SIMIS Seminar on Derived and Noncommutative Geometry：Moduli Stacks of Solutions to Non-linear PDES and their related Singularities Read More »

Speaker：Qingnan An Host: Huaxin Lin Abstract: We will talk about the Elliott conjecture of real rank zero setting which would briefly involve Total K-theory, Universal Multi-Coefficient Theorem, Bockstein Operations and a new invariant called Total Cuntz semigroup. By considering the the classification of extensions of C*-algebras, we exhibit two unital, separable, nuclear C*-algebras of stable …

An operator algebras seminar at SIMIS: Classification of C*-algebras real rank zero and stable rank one Read More »

Speaker: Junwu Tu (Shanghai Tech) Abstract: In the first half, we shall begin by recalling the fact that Hochschild cohomology of an associative algebra has a Gerstenhaber algebra structure. Then we discuss its chain level extension (conjectured by Deligne) that the Hochschild cochain complex carries an E2-algebra structure. Finally, we shall describe the construction of …

SIMIS Seminar on Derived and Noncommutative Geometry: Enumerative Invariants from Calabi-Yau categories Read More »