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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：The Cohen-Macaulay Auslander algebra of string algebras
串代数 Cohen—Macaulay—Auslander代数 拓扑 同调
2023/11/13
In these two talks, some results on derived representation type via topological and homological methods will be introduced: (1) Two geometric models for graded skew-gentle algebras will be introduced ...
Welcome to the website of the Strings 2016 conference, which will take place in Tsinghua University, Beijing, China, from August 1 to August 5, 2016.
Open-string vertex algebras, tensor categories and operads
Open-string vertex algebras tensor categories operads
2015/3/25
We introduce notions of open-string vertex algebra, conformal open-string vertex algebra and variants of these notions. These are ``open-string-theoretic,'' ``noncommutative'' generalizations of the n...
Quasi Monte Carlo Simulation of Stochastic String Model
Quasi Monte Carlo Simulation Stochastic String Model
2015/3/20
Quasi Monte Carlo Simulation of Stochastic String Model.
On Topological String Theory.
During the summer of 1985, after the opening ceremony of Nankai Institute of Mathematics,a beautiful lecture of S.-S. Chern on Chern classes and the Atiyah-Singer index formula introduced me into the ...
A Generalization of Turaev's Virtual String Cobracket
Turaev's Virtual String Cobracket Geometric Topology
2011/9/19
Abstract: In a previous paper, we defined an operation $\mu$ that generalizes Turaev's cobracket for loops on a surface. We showed that, in contrast to the cobracket, this operation gives a formula fo...
The Resurgence of Instantons in String Theory
Instantons Resurgent Analysis Topological and Minimal Strings Matrix Models
2011/7/7
Nonperturbative effects in string theory are usually associated to D-branes. In many cases it can be explicitly shown that D-brane instantons control the large-order behavior of string perturbation th...
Vacuum stability, string density of states and the Riemann zeta function
Vacuum stability string density of states Riemann zeta function
2011/3/3
We study the distribution of graded degrees of freedom in classically stable oriented closed string vacua and use the Rankin-Selberg transform to link it to the nite one-loop vacuum energy.
String hypothesis for gl(n|m) spin chains: a particle/hole democracy
String hypothesis gl(n|m) spin chains particle/hole democracy
2011/3/3
This paper is devoted to integrable gl(n|m) spin chains which allow for for-mulation of the string hypothesis. Considering the thermodynamic limit of such spin chains, we derive linear functional equa...
Generalized string equations for double Hurwitz numbers
Hurwitz numbers Toda hierarchy generalized string equation
2011/2/28
The generating function of double Hurwitz numbers is known to become a tau function of the Toda hierarchy. The associated Lax and Orlov-Schulman operators turn out to satisfy a set of generalized stri...
Error Estimates in Horocycle Averages Asymptotics: Challenges from String Theory
Error Estimates Horocycle Averages Asymptotics Challenges String Theory
2011/1/21
For modular functions of rapid decay, a classical result connects the error estimate in their long horocycle average asymptotic to the Riemann hy-pothesis.
We investigate the structure of singular Calabi-Yau varieties in moduli spaces that contain a Brieskorn-Pham point. Our main tool is a construction of families of deformed motives over the parameter s...
The Cleavage Operad and String Topology of Higher Dimension
Cleavage Operad String Topology of Higher Dimension
2011/2/24
In [Vor05], Voronov gave life to the Cacti operad: An operad whose homology acts on the shifted homology of the free loop space over a compact, smooth orientable manifold M – HpMS1q– giving it the st...
We revisit the damped string equation on a compact interval with a variety of boundary conditions and derive an infinite sequence of trace formulas associated with it, employing methods familiar from ...