String-Math 2015 : December 31, 2015-January 4, 2016, Tsinghua Sanya International Mathematics Forum, Sanya, China
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書誌事項
String-Math 2015 : December 31, 2015-January 4, 2016, Tsinghua Sanya International Mathematics Forum, Sanya, China
(Proceedings of symposia in pure mathematics, v. 96)
American Mathematical Society, c2017
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注記
Other editors: Bong H. Lian, Wei Song, Shing-Tung Yau
Includes bibliographical references
内容説明・目次
内容説明
This volume contains the proceedings of the conference String-Math 2015, which was held from December 31, 2015-January 4, 2016, at Tsinghua Sanya International Mathematics Forum in Sanya, China. Two of the main themes of this volume are frontier research on Calabi-Yau manifolds and mirror symmetry and the development of non-perturbative methods in supersymmetric gauge theories. The articles present state-of-the-art developments in these topics. String theory is a broad subject, which has profound connections with broad branches of modern mathematics. In the last decades, the prosperous interaction built upon the joint efforts from both mathematicians and physicists has given rise to marvelous deep results in supersymmetric gauge theory, topological string, M-theory and duality on the physics side, as well as in algebraic geometry, differential geometry, algebraic topology, representation theory and number theory on the mathematics side.
目次
K. Becker and M. Becker, Superstring compactifications to all orders in $\alpha'$
F. Benini and A. Zaffaroni, Supersymmetric partition functions on Riemann surfaces
H.-L. Chang, J. Li, W.-P. Li, and C.-C. M. Liu, On the mathematics and physics of Mixed Spin P-fields
C.-H. Cho, Homological mirror functors via Maurer-Cartan formalism
C. F. Doran, A. Harder, and A. Thompson, Mirror symmetry, Tyurin degenerations and fibrations on Calabi-Yau manifolds
M. Han, SL(2,$\mathbb{C}$) Chern-Simons theory and four-dimensional quantum geometry
Y.-P. Lee, H.-W. Lin, and C.-L. Wang, Quantum cohomology under birational maps and transitions
G. W. Moore, A. B. Royston, and D. Van den Bleeken, $L^2$-kernels of Dirac-type operators on monopole moduli spaces
N. Nekrasov, $\mathcal{BPS/CFT}$ correspondence: Instantons at crossroads and gauge origami
X. Wang and Y. Zhang, Balanced embedding of degenerating Abelian varieties
N. Yui, The modularity/automorphy of Calabi-Yau varieties of CM type.
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