For more information about this meeting, contact Robert Vaughan.
| Title: | Hilbert modular generating functions with coefficients in intersection
homology |
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| Seminar: | Algebra and Number Theory Seminar |
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| Speaker: | Jayce Getz |
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| Abstract: |
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| In a seminal Inventiones 1976 paper, Hirzebruch and Zagier produced a set of cycles on certain Hilbert modular surfaces whose intersection numbers are the Fourier coefficients of elliptic modular forms with nebentypus. Their result can be viewed as a geometric manifestation of the Naganuma lift from elliptic modular forms to Hilbert modular forms. We discuss a general analogue of this result where the real quadratic extension is replaced by an arbitrary quadratic extension of
totally real fields. Our result can be viewed as a geometric manifestation of quadratic base change for GL_2 over totally real fields. (joint work with Mark Goresky). |
Room Reservation Information
| Room Number: | MB106 |
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| Date: | 11 / 29 / 2007 |
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| Time: | 11:15am - 12:05pm |
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