# Research activities

## Research activities

### International Conference Invitation Lecture

#### YoungJu Choie

(Director)

1. Automorphic forms and Cohomology (invited talk 50 mits), Special Session on “Recent developments in Automorphic forms”, AMS meeting at the University of Hawaii Manea, March 24 (9:00-9:50), March 22-24, 2019

2. Kernels for Products of Hilbert L-functions, Recent Advances and Applications of Modular forms, AMS meeting at the University of Hawaii Manea, March 22(3:30-3:50 20 mits invited talk) , March 22-24, 2019

3. Kernels for Products of L-functions, Inaugural France-Korea Conference on Algebraic geometry, Number Theory, and Partial Differential equations, Institute of Mathematics, University of Bordeaux, France, .2019.11.24-2019.11.27

4.Genernatinf functions of Periods of modular forms, the workshop on__Transfor Operators in Number Theory and Quantum Chaos__, HIM, Bonn 20200203-20200207

5. Modular form and Period polynomial, __Joint Mathematics Meetings AMS Special Session, Quadratic forms and Theta functions, January 6, 2021 (online): Title: Modular forms and Period polynomials__

6. a Generating function of periods of modular forms, __ Heilbronn Number Theory seminar,__ U of Bristol, 2021 03 10 (online)

7. Y. Choie, Period polynomials and Automorphic forms, __ Invited talk at Algebra session in 2021 Spring Korean Mathematical Society Annual Meeting,__ April 29-April 30, 2021 (online)

8. Y. Choie, A generating function of periods of automorphic forms, __ The international seminar on Automorphic Forms,__ Germany, 2021.06.22 (0nline), Organized by Yingkun Li (TU Darmstadt) and Markus Schwagenscheidt(ETH Zurich)

9. Y. Choie, “Kronecker series and Modular forms”, __ Number Theory Lunch Seminar, Max Planck Institute, Bonn, in honor of the 70th birthday of Professor Don Zagier,__ June 30, 2021

10. Y. Choie, “Various aspects of Kronecker series”, __ Women in Automorphic forms, __ 20210920 -20210922, Organized by Claudia Alfes, Anke Pohl, Anna v. Pippich, Bielefeld University, Germany

#### Jeehoon Park

1. "Homotopy Lie formula for the Dwork p-adic Frobenius operator", Boston University Algebra Seminar, 201904, USA

2. "Arithmetic Chern-Simons theory with real places", Galois structures in Number theory, 201908, China

3. "Higer residue pairing for projective smooth complete intersections", 2nd Kyoto-Hefei Workshop on Arithmetic Geometry, 202008, Japan, online

#### Sung Mun Cho

1. "Siegel series and intersection numbers", Siegel series and intersection numbers, 201806, Singapore

2. "On the Siegel series", 21st Hakuba Autumn Workshop on Number Theory, 201809, Japan

3. "On the volume of compact p -adic manifold", AMS Special Session on Arithmetic of Shimura Varieties, 201909, USA

#### Jayce Getz

(Visiting Professors)

1. Harmonic analysis on certain spherical varieties, __ Recent Developments in Automorphic Representations,__ AMS Session, Mar 2021(online)

2. Harmonic analysis on certain spherical varieties,__ Representation Theory and Number Theory Seminar,__ NUS, Apr 2021(online)

3. New Avenues for the Circle Method,__ The Circle Method: Entering its Second Century,__ HCM, May 2021(online)

4. Harmonic analysis on certain spherical varieties, __Relative Aspects of the Langlands Program, L-functions, and Beyond Endoscopy,__ CIRM, May 2021(online)

5. Harmonic analysis on certain spherical varieties, Number Theory, Cornell University, May 2021(online)

6. Harmonic analysis on certain spherical varieties,__ Galois Representations and Automorphic Forms,__ MCA, July 2021(online)

#### Heekyoung Hahn

(Visiting Professors)

1. Heilbronn Number Theory Seminar,__ Poles of triple product $L$-functions involving monomial representations,__ University of Bristol, Nov 2020(online)

### Conference Talks

#### Sung Mun Cho

1. "On the Gross-Keating invariant", Conference on the Arithmetic Theory of Quadratic Forms, 201901, KOREA

2. "On smooth integral models of p-adic reductive groups", Annual number theory workshop 2019, 201902, KOREA

3. "On smoothening of Hitchin fibration", Workshop on Number Theory and Algebra, 201906, KOREA

4. "Local Tamagawa volume and smooth integral scheme", Joint Workshop on Algebraic Geometry and Number Theory around Young-Nam, 201911, KOREA

5. "Local Tamagawa volume and smooth integral scheme", 2019 Pohang Mathematics Workshop , 201912, KOREA

#### Clifford Blakestad

(Postdoctoral fellows)

1. From complex to p-adic theta functions, IBS-CGP Pohang Mathematics Meeting(December 7th 2019)

2. On generalizations of p-adic sigma functions to Jacobians of curves of genus two, Korean Mathematical Society Annual Meeting(October 26th 2019)

3. On p-adic Weierstrass functions, Korean Mathematical Society Annual Meeting (July 2020)

4. On the relationship between division polynomials and p-adic sigma functions on abelian varieties, Annual number theory workshop 2020(January 2020)

Other Talks

1. p-Adic theta functions, Geometry Seminar, Korea Institute for Advanced Study (November 22nd 2019)

2. Mathematics from the p-adic perspective, 3W’s Seminar, Korea Institute for Advanced Study (September 23rd 2019)

3. Generalizing p-adic theta functions to abelian surfaces, Number Theory Seminar, POSTECH (September 18th 2019)

#### Heekyoung Hahn

(Visiting Professors)

1.Trends in Number Theory, KMS Special Session, Poles of triple product $L$-functions involving monomial representations, Korea, Oct 2020(online)

2. Colloquium, Department of Mathematics at Postech, Applications of Langlands’ beyond endoscopy proposal, Korea, Dec 2020