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Three Lectures on the Modularity of % MathType!MTEF!2!1!+- % feaagCart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn % hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr % 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq-Jc9 % vqaqpepm0xbba9pwe9Q8fs0-yqaqpepae9pg0FirpepeKkFr0xfr-x % fr-xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaaeaaaaaaaaa8 % qacuaHbpGCgaqeaaaa!37EC! $$\bar{\rho }$$ E,3 and the Langlands Reciprocity Conjecture

In: Modular Forms and Fermat’s Last Theorem

Author

Listed:
  • Stephen Gelbart

Abstract

WILES’ work on Fermat’s Last Theorem is based on methods due to FALTINGS, FREY, LANGLANDS, MAZUR, RIBET, SERRE, TAYLOR, and others. My purpose in these Lectures is to explain how the (automorphic representation theoretic methods and) results of LANGLANDS come into the proof, and how these results themselves are proved. An Introduction to each of the Lectures describes more of the topics discussed; but the titles already speak for themselves:

Suggested Citation

  • Stephen Gelbart, 1997. "Three Lectures on the Modularity of % MathType!MTEF!2!1!+- % feaagCart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn % hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr % 4rNCHbGeaGqiVu0Je9sqqrpep," Springer Books, in: Gary Cornell & Joseph H. Silverman & Glenn Stevens (ed.), Modular Forms and Fermat’s Last Theorem, pages 155-207, Springer.
  • Handle: RePEc:spr:sprchp:978-1-4612-1974-3_6
    DOI: 10.1007/978-1-4612-1974-3_6
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