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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Modularity of WRT invariants via resurgence theory
复活理论 WRT不变量 模性
2023/11/29
We will talk about the (quantum) modularity of WRT invariants or GPPV invariants in general of Seifert fibered homology spheres. It turns out that they are related to the Stokes phenomena of the Ohtsu...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Futaki invariants and Yau’s conjecture on the Hull-Strominger system
Futaki invariants 丘成桐 赫尔-斯特罗明格系统 猜想
2023/4/23
In this talk, we will talk about Fernandez-Molina’s paper”Futaki invariants and Yau’s conjecture on the Hull-Strominger system”. We will introduce a new obstruction to the existence of solutions of th...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Conformally variational Riemannian invariants and their related topics
共形变分 黎曼不变量 主题
2023/4/23
It is well known that scalar curvature plays a fundamental role in general relativity. As its analogue, conformally variational Riemannian invariants (CVIs) is a category of fundamental scalar-type cu...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：The definable content of homological invariants
同调 不变量 可定义内容
2023/5/15
In this talk we will develop a framework for enriching various classical invariants of homological algebra and algebraic topology with additional descriptive set-theoretic information. The resulting "...
We prove that any three-point genus zero Gromov-Witten invariant on a type A Grassmannian is equal to a classical intersection number on a
two-step °ag variety. We also give symplectic and orthogonal...
GROMOV-WITTEN INVARIANTS AND QUANTUM COHOMOLOGY OF GRASSMANNIANS
GROMOV-WITTEN INVARIANTS QUANTUM COHOMOLOGY
2015/12/17
This is the written version of my ˉve lectures at the Banach Center
mini-school on `Schubert Varieties', in Warsaw, Poland, May 18{22, 2003.
THE RING OF PROJECTIVE INVARIANTS OF EIGHT POINTS ON THE LINE VIA REPRESENTATION THEORY
PROJECTIVE INVARIANTS EIGHT POINTS ON THE LINE VIA
2015/10/14
The ring of projective invariants of eight ordered points on the line is a quotient of the polynomial ring on V , where V is a fourteen-dimensional representation of S8, by an ideal I8, so the modular...
THE IDEAL OF RELATIONS FOR THE RING OF INVARIANTS OF n POINTS ON THE LINE:INTEGRALITY RESULTS
RELATIONS FOR THE RING INVARIANTS OF n POINTS ON THE LINE INTEGRALITY RESULTS
2015/10/14
Consider the projective coordinate ring of the GIT quotient (P1)n//SL(2), with the usual linearization, where n is even. In 1894, Kempe proved that this ring is generated in degree one. In [HMSV2]we s...
THE RELATIONS AMONG INVARIANTS OF POINTS ON THE PROJECTIVE LINE
RELATIONS AMONG INVARIANTS POINTS ON THE PROJECTIVE LINE
2015/10/14
THE RELATIONS AMONG INVARIANTS OF POINTS ON THE PROJECTIVE LINE.
THE IDEAL OF RELATIONS FOR THE RING OF INVARIANTS OF n POINTS ON THE LINE
RELATIONS FOR THE RING INVARIANTS OF n POINTS THE LINE
2015/10/14
The ring of projective invariants of n ordered points on the projective line is one of the most basic and earliest studied examples in Geometric Invariant Theory. It is a remarkable fact and the point...
EVOLUTION OF ADIABATIC INVARIANTS IN STOCHASTIC AVERAGING
STOCHASTIC AVERAGING ADIABATIC INVARIANTS
2015/9/29
An averaging problem with Markov fast motion is
considered. The di usive limit is obtained for the evolution of adabatic invariants under the assumption that the averaged motion
is ergodic on almost...
The ring of projective invariants of n ordered points on the projective line is one of the most
basic and earliest studied examples in Geometric Invariant Theory. It is a remarkable fact and the poin...
We consider the ring of invariants of n points on the projective line. The space (P
1)
n//PGL2 is
perhaps the first nontrivial example of a Geometry Invariant Theory quotient. The constructio...
A DESCRIPTION OF THE OUTER AUTOMORPHISM OF S6, AND THE INVARIANTS OF SIX POINTS IN PROJECTIVE SPACE
PROJECTIVE SPACE OUTER AUTOMORPHISM
2015/7/14
The latter two descriptions do
not distinguish any of the six points. Of course, these descriptions are equivalent to the
traditional one (x1.4) there is after all only one nontrivial outer automor...
CONFORMAL INVARIANTS ASSOCIATED TO A MEASURE: CONFORMALLY COVARIANT OPERATORS
CONFORMAL INVARIANTS ASSOCIATED MEASURE CONFORMALLY COVARIANT OPERATORS
2014/4/3
In this paper we study Riemannian manifolds (Mn, g) equipped with a smooth measure m. In particular, we show that the construction of conformally covariant operators due to Graham-Jenne-Mason-Sparling...