【115/11/13】12:10-13:00 Mr. Hao-Yuan Chang (Department of Mathematics, National Cheng Kung University)
| Algebra and Number Theory Learning Seminar | |
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| Time | 2026-11-13 12:10-13:00 |
| Venue | 31201, Department of Mathematics |
| Speaker | Mr. Hao-Yuan Chang (Department of Mathematics, National Cheng Kung University) |
| Title | Modular Forms |
| Abstract | In the previous talk, we saw how complex tori naturally lead to the modular group and its action on the upper half-plane. In this talk, we continue by introducing modular forms. If time permits, we will also discuss level structures and congruence subgroups, together with their associated modular curves. This leads naturally to the theory of modular symbols, which provide a bridge between the analytic theory of modular forms and the topology and arithmetic of modular curves. We will see how these symbols arise from paths joining cusps, and how continued fractions enter their computation. Registration Link: https://forms.gle/F5GdEeDDb4uZzZ4p9 (To facilitate the ordering of lunch boxes, please complete the above registration form by November 11 (Wednesday).) |
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