预告 | 第六届顶科论坛“前沿讲堂”直播放送系列 数学与物理学前沿（英文原声）

第六届世界顶尖科学家论坛顺利落幕以来，科学精神持续传播，学术成果持续沉淀。

本届论坛首次创设“世界顶尖科学家前沿讲堂”，包括15位诺奖得主在内的50余位世界顶尖科学家，通过每人30分钟的学术报告，分享最新的研究成果和前瞻性思考，所涉科研领域达10余个，汇成了一场星光璀璨的学术盛宴。

从1月16日开始，顶科论坛将重磅放送前沿讲堂系列英文原声学术报告，给科研工作者、科学爱好者送上一份新春馈赠。

点击预 约前沿讲堂【数学与物理学前沿】 直播

【演讲嘉宾】

洛朗·拉福格（Laurent Lafforgue）

2002年菲尔兹奖得主、华为技术公司（法国）研究员

【演讲摘要】

Grothendieck Toposes for future AI: imagining new topos-inspired representations of images

Summary: The notion of Topos was introduced by Grothendieck as the broadest mathematical notion to which topological intuitions still apply.

This notion is in fact so general that it allows to imagine completely new mathematical models of many aspects of the world, in particular images, in ways which could be closer to the natural thinking of human minds.

The purpose of the presentation will be to give an idea of the greater freedom for modelling and computing brought by Grothendieck Topos Theory.

【演讲嘉宾】

迈克尔·贝里 （Michael Berry）

1998年沃尔夫物理学奖得主、布里斯托大学物理学冠名名誉教授

【演讲摘要】

Chaos, Quantum, Number

The three words in the title are connected in deep and unexpected ways.

Chaos. Classical newtonian mathematics is deterministic, but classical newtonian physics is not, because the assumption underlying physical determinism – a system can be isolated – violates physics: gravity cannot be screened. Some systems are so sensitive to external influence that prediction would require knowledge of all the particles in the universe, including those in our heads or computers; unpredictable becomes undetermined.

Quantum physics is utterly different from classical. Energy levels are discrete; matter is described by wavefunctions; an isolated quantum system cannot evolve chaotically. The underlying philosophical problem is: How can a less general theory emerge as a limiting case of a fundamentally different more general one? Such limits are mathematically singular. Establishing that classicality emerges involves decoherence. A creative aspect of singular limits is new borderland phenomena between the theories; in quantum chaology, one such is universality in the distribution of energy levels.

Number. The distribution of prime numbers is related to the Riemann Hypothesis, illuminated by quantum chaology, beyond universality.

Further reading (numbers refer to michaelberryphysics.wordpress.com)

• Berry, M V, 1994, 'Asymptotics, singularities and the reduction of theories, #260

• Berry, M V, 2002, 'Singular limits', #341

• Batterman, Robert W, 2001, 'The Devil in the Details: Asymptotic Reasoning in Explanation, Reduction and Emergence' (Oxford University Press)

• Berry, M V, 2001 'Chaos and the semiclassical limit of quantum mechanics (is the moon there when somebody looks?)', #337

• Bokulich, Alisa, 2008, 'Reexamining the Quantum-Classical Relation: Beyond Reductionism and Pluralism' (Cambridge University Press), #433

• Chibarro, Sergio, Vulpiani, Angelo and Rondoni, Lamberto, 2014, Reductionism, Emergence and Levels of Reality: the Importance of being Borderline, #474

• Berry, M V and Keating, J P, 1999, The Riemann zeros and eigenvalue asymptotics, #307

• Berry, MV, 2020, True, but not real, #518

【演讲嘉宾】

J·迈克尔·科斯特利茨（J. Michael Kosterlitz）

2016年诺贝尔物理学奖得主、布朗大学物理学冠名教授

【演讲摘要】

Wavelength Selection by Additive Stochastic Noise in a Driven Out of Equilibrium System

（略）

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点击预约前沿讲堂【数学与物理学前沿】直播

编 辑 | 秣 马

佳 莹

责 编 | 小 文