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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...
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...
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...
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 "...
In this paper we study cryptanalysis with non-linear polynomials cf. Eurocrypt’95 (adapted to Feistel ciphers at Crypto 2004). Previously researchers had serious difficulties in making such attacks wo...
A new approach to invariant subspaces and nonlinear invariants is developed. This results in both theoretical insights and practical attacks on block ciphers. It is shown that, with minor modification...
This paper analyzes Cassirer's account of the coordination of concepts and spatio-temporal objects. We shall see that, in contradistinction to Kantian schematism, Cassirer maintains that this coordina...
Many relational static analysis techniques for precise reasoning about heap contents perform an explicit case analysis of all possible heaps that can arise. We argue that such precise relational reaso...
We describe a Guess-and-Check algorithm for computing algebraic equation invariants of the form ∧ifi(x1, . . . , xn) = 0, where each fi is a polynomial over the variables x1, . . . , xn of the program...
This paper presents an algorithm to construct cryptographically strong genus 2 curves and their Kummer surfaces via Rosenhain invariants and related Kummer parameters. The most common version of the...
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...
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 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...
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...

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