Towards fault-tolerant quantum computation: near term and the future

Abstract Quantum error-correcting codes (QECCs) can eliminate the negative effects of quantum noise, the major obstacle to the execution of quantum algorithms on large-scale quantum computers.

Towards a zero-one law for improvements to Dirichlet's approximation theorem

Abstract In this talk we discuss a notion of $\psi$-Dirichlet in Diophantine approximation which concerns improving Dirichlet’s approximation theorem to a general approximating function $\psi$. Th...

Random conductance models with stable-like long range jumps

Abatract In this talk, we consider random conductance models with stable-like long range jumps, and obtain the quenched invariance principle (QIP) and a quantitative version of stochastic

Zagier's Polylogarithm Conjecture revisited

Abstract Instigated by work of Borel and Bloch, Zagier formulated his Polylogarithm Conjecture in the late eighties and proved it for weight 2. After a flurry of activity and advances at the time

【2022-11-30 17:15】Geometry & Gravitation

A number theory problem arising in quantum information theory Abstract A maximal regular simplex inscribed in the set of quantum states has some engineering applications --- if it exists. Attempts

BIMSA一周学术报告预告 11.28-12.02

2022-11-28 Mon The Extended Persistent Homology Transform for Manifolds with Boundary AMSS-YMSC-BIMSA Joint Seminar on Progress of Topology and Its ApplicationsSpeaker: Vanessa Robins Australian

A proof of Kudla-Rapoport conjecture for Kramer models at ramified primes

Abstract In this talk, I will first talk about the Kudla-Rapoport conjecture, which suggests a precise identity between arithmetic intersection numbers of special cycles on Rapoport-Zink space an

Teichmüller spaces, quadratic differentials, and cluster coordinates

Abstract In the late 1980s, Nigel Hitchin and Michael Wolf independently discovered a parametrization of the Teichmüller space of a compact surface by holomorphic quadratic differentials. In this

Topological entropy for non-archimedean dynamics

Abstract The talk is based on a joint work with Charles Favre and Tuyen Trung Truong. We prove that the topological entropy of any dominant rational self-map of a projective variety defined over

Opinion Dynamics on Sheaves