Ramifications of the Geometric Langlands Program

Ramifications of the Geometric Langlands Program
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几何朗兰兹纲领的影响

DOI:
10.1007/978-3-540-76892-0_2
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发表时间:
2006
期刊:
arXiv: Quantum Algebra
影响因子:
--
通讯作者:
E. Frenkel
E. Frenkel
中科院分区:
--
文献类型:
--
作者:
E. Frenkel

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朗兰兹纲领被认为是数论和自同构表示之间的桥梁,最近已扩展到几何和量子场论等领域,并揭示了看似不相关的学科之间无数意想不到的联系和二元性。朗兰兹二元性的表现方式具有某种深刻的神秘性,这也是他们的研究如此引人入胜的原因。
The Langlands Program, conceived as a bridge between Number Theory and Automorphic Representations [L], has recently expanded into such areas as Geometry and Quantum Field Theory and exposed a myriad of unexpected connections and dualities between seemingly unrelated disciplines. There is something deeply mysterious in the ways the Langlands dualities manifest themselves and this is what makes their study so captivating.