ICBS Lecture 国际基础科学大会报告
首届国际基础科学大会（International Congress of Basic Science,简称 ICBS）于2023年7月16-28日在北京举行，主题为“聚焦基础科学，引领人类未来”。大会期间，约350场前沿科学奖报告（Frontiers of Science Award Lecture）、大会报告（Plenary Lecture）以及特邀报告（Invited Lecture）将在北京雁栖湖应用数学研究院举行。
多位国际学术大奖得主领衔主讲大会报告
2013年费马奖得主
美国普林斯顿高等研究院教授
Camillo De Lellis
国际数学联盟主席
日本东京大学教授
Hiraku Nakajima
1998年菲尔兹奖得主
2012年邵逸夫奖得主
2012年基础物理学突破奖得主
2014年数学突破奖得主
法国高等科学研究所教授
Maxim Kontsevich
2006年菲尔兹奖得主
哥伦比亚大学教授
Andrei Okounkov
1982年麦克斯韦奖得主
英国伦敦国王学院教授
John Ellis
2012年基础物理学突破奖得主
美国斯坦福大学教授
Andrei Linde
6场报告
7月18日-7月24日
Venue: Math Lecture Room 9 (A6 1F)
7月18日（星期二）上午 09:15-10:15
卡米洛·德·莱利斯 Camillo De Lellis
2013年费马奖得主、
德国科学院院士、
欧洲科学院院士、
美国普林斯顿高等研究院数学学院终身教授
Title
Area-minimizing integral currents: singularities and structure
Abstract
Area-minimizing integral currents were introduced by De Giorgi, Federer, and Fleming to build a successfull existence theory for the {\em oriented} Plateau problem. While celebrated examples of singular minimizers were discovered soon after, a first theorem which summarizes the work of several mathematicians in the 60s and 70s (De Giorgi, Fleming, Almgren, Simons, and Federer) and a second theorem of Almgren from 1980 give general dimension bounds for the singular set which match the one of the examples, in codimension 1 and in general codimension respectively. In joint works with Anna Skorobogatova and Paul Minter we prove that in higher codimension the singular set is (m-2)-rectifiable and the tangent cone is unique at Hm-2-a.e. point. Independently and at the same time, a proof of the same result has been discovered also by Krummel and Wickramasekera. This theorem is the counterpart, in general codimension, of a celebrated work of Leon Simon in the nineties for the codimension 1 case. Moreover, a recent theorem by Liu proves that the singular set can in fact be a fractal of any Hausdorff dimension α≤m-2, indicating that the above structure theorem is indeed close to optimal.
Venue: Math Lecture Room 9 (A6 1F)
7月18日（星期二）上午 10:30-11:30
中岛启 Hiraku Nakajima
国际数学联盟主席、
2014年日本科学院奖得主、
日本东京大学教授
Title
A mathematical definition of Coulomb branches of 3-dimensional N=4 gauge theories
Abstract
Consider the 3-dimensional N=4 supersymmetric gauge theory associated with a compact Lie group K and its quaternionic representation M. Physicists study its Coulomb branch, which is a noncompact hyper-Kähler manifold with an SU(2)-action, possibly with singularities. We give a mathematical definition of the Coulomb branch as an affine algebraic variety with symplectic form on its regular locus. It is defined as the spectrum of the equivariant BM homology of a certain moduli space with the convolution product.
Venue: Math Lecture Room 9 (A6 1F)
7月19日（星期三）上午 08:00-09:00
马克西姆·孔采维奇 Maxim Kontsevich
1998年菲尔兹奖得主、
2012年邵逸夫奖得主、
2012年基础物理学突破奖得主、
2014年数学突破奖得主、
欧洲科学院院士、
法国科学院院士、
法国高等科学研究所教授
Title
Complex metrics in QFT
Abstract
I'll review a joint paper with Graeme Segal in which we proposed new axioms for the unitary Quantum Field Theory in curved space-times, allowing complex-valued metrics satisfying point-wise certain angle criterion. I'll also mention parallels with automorphic forms and some functional-analytic aspects.
Venue: Math Lecture Room 9 (A6 1F)
7月20日（星期四）上午 09:15-10:15
安德烈·欧克恩科夫 Andrei Okounkov
2006年菲尔兹奖得主、
2004年欧洲数学会奖、
美国国家科学院院士、
美国艺术与科学院院士、
哥伦比亚大学教授
Title
On quantum groups and quantum cohomology
Abstract
I will revisit several key threads that run through our book "Quantum groups and quantum cohomology" with Davesh Maulik
Venue：Physics Lecture Room 4 (A3-2 1F)
7月21日（星期五）上午 08:00-09:00
约翰·埃利斯
John Ellis
1982年麦克斯韦奖得主、
英国皇家科学院院士、
英国伦敦国王学院教授
Title
How Effective is the Standard Model of Particle Physics?
Abstract
The Standard Model of particle remains consistent with (most) data, despite the best efforts of experiments, and the abundance of open problems including the identity of dark matter, the origin of the matter in the Universe and the nature of the mysterious Higgs boson, not to mention the unification of the Standard Model with gravity. The Standard Model should be regarded as an effective field theory that is a low-energy approximation to a more complete theory of fundamental physics. The latter may reveal itself through higher-order interactions between Standard Model particles that are being sought at the Large Hadron Collider and elsewhere. Any luck yet?
Venue: Physics Lecture Room 4 (A3-2 1F)
7月24日（星期一）上午 08:00-09:00
安德烈·林德 Andrei Linde
2012年基础物理学突破奖得主、
2014年科维理天体物理学奖得主、
2002年狄拉克奖章得主、
美国国家科学院院士、
美国艺术与科学院院士、
美国斯坦福大学物理学教授
Title
Inflationary cosmology: Theory and observations
Abstract
Inflationary theory was proposed about 40 years ago as a bold attempt to solve numerous problems of the Big Bang theory. Gradually it became the leading cosmological paradigm describing the origin of the universe and formation of its large scale structure. Many of its predictions are already confirmed by cosmological observations. I will briefly describe the development of inflationary cosmology and its present status with an account taken of the latest observational data.
