| Softcover ISBN: | 978-2-85629-960-9 |
| Product Code: | AST/435 |
| List Price: | $75.00 |
| AMS Member Price: | $60.00 |
| Softcover ISBN: | 978-2-85629-960-9 |
| Product Code: | AST/435 |
| List Price: | $75.00 |
| AMS Member Price: | $60.00 |
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Book DetailsAstérisqueVolume: 435; 2022; 192 ppMSC: Primary 14; 22
The authors study the Geometric Langlands Conjecture (GLC) for rank two flat bundles on the projective line \(C\) with tame ramification at five points \({p1,p2,p3,p4,p5}\). In particular, they construct the automorphic \(\mathcal{D}\)-modules predicted by GLC on the moduli space of rank two parabolic bundles on \((C,{p1,p2,p3,p4,p5})\). The construction uses non-abelian Hodge theory and a Fourier-Mukai transform along the fibers of the Hitchin fibration to reduce the problem to one in classical projective geometry on the intersection of two quadrics in \(\mathbb{P}^{4}\).
A publication of the Société Mathématique de France, Marseilles (SMF), distributed by the AMS in the U.S., Canada, and Mexico. Orders from other countries should be sent to the SMF. Members of the SMF receive a 30% discount from list.
ReadershipGraduate students and research mathematicians.
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The authors study the Geometric Langlands Conjecture (GLC) for rank two flat bundles on the projective line \(C\) with tame ramification at five points \({p1,p2,p3,p4,p5}\). In particular, they construct the automorphic \(\mathcal{D}\)-modules predicted by GLC on the moduli space of rank two parabolic bundles on \((C,{p1,p2,p3,p4,p5})\). The construction uses non-abelian Hodge theory and a Fourier-Mukai transform along the fibers of the Hitchin fibration to reduce the problem to one in classical projective geometry on the intersection of two quadrics in \(\mathbb{P}^{4}\).
A publication of the Société Mathématique de France, Marseilles (SMF), distributed by the AMS in the U.S., Canada, and Mexico. Orders from other countries should be sent to the SMF. Members of the SMF receive a 30% discount from list.
Graduate students and research mathematicians.
