NTSGrad Spring 2018/Abstracts: Difference between revisions
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What do you get when you cross an Eisenstein series with a cuspform? An L-function! Since there's no modular forms course this semester, I will try to squeeze in an entire semester's course on modular forms during the first part of this talk, and then I'll explain the Rankin-Selberg method of establishing analytic continuation of certain L-functions. | What do you get when you cross an Eisenstein series with a cuspform? An L-function! Since there's no modular forms course this semester, I will try to squeeze in an entire semester's course on modular forms during the first part of this talk, and then I'll explain the Rankin-Selberg method of establishing analytic continuation of certain L-functions. | ||
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== Jan 30 == | |||
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| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Wanlin Li''' | |||
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| bgcolor="#BCD2EE" align="center" | ''TBA'' | |||
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TBA | |||
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== Feb 6 == | |||
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| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Dongxi Ye''' | |||
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| bgcolor="#BCD2EE" align="center" | ''Modular Forms, Borcherds Lifting and Gross-Zagier Type CM Value Formulas'' | |||
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During the course of past decades, modular forms and Borcherds lifting have been playing an increasingly central role in number theory. In this talk, I will partially justify these by discussing some recent progress on some topics in number theory, such as representations by quadratic forms and Gross-Zagier type CM value formulas. | |||
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Revision as of 04:18, 22 January 2018
This page contains the titles and abstracts for talks scheduled in the Spring 2018 semester. To go back to the main NTSGrad page, click here.
Jan 23
| Solly Parenti |
| Rankin-Selberg L-functions |
|
What do you get when you cross an Eisenstein series with a cuspform? An L-function! Since there's no modular forms course this semester, I will try to squeeze in an entire semester's course on modular forms during the first part of this talk, and then I'll explain the Rankin-Selberg method of establishing analytic continuation of certain L-functions. |
Jan 30
| Wanlin Li |
| TBA |
|
TBA |
Feb 6
| Dongxi Ye |
| Modular Forms, Borcherds Lifting and Gross-Zagier Type CM Value Formulas |
|
During the course of past decades, modular forms and Borcherds lifting have been playing an increasingly central role in number theory. In this talk, I will partially justify these by discussing some recent progress on some topics in number theory, such as representations by quadratic forms and Gross-Zagier type CM value formulas. |