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2023-06-022023 TIMS Seminar in Algebraic Geometry: Calabi-Yau with small parametersAbstract: We plan to study Calabi-Yau threefolds with Picard number up to 2 or with complex moduli up to 2 dimensions. Conjecturally, CY3 in both classes are closely related under the global mirror map, which exchanges the A side (Kahler moduli) and the B side (complex moduli). Moreover, such a global mirror correspondence should also be compatible with extremal transitions. The mirror correspondence between quintic CY and its mirror quintic is the most well studied example. The famous BCOV theory on the B side suggests fundamental identities (e.g. Yamaguchi-Yau) on the A side and eventually helps to find methods to attack the higher genus curve counting for the quintics. Such a correspondence is mostly unknown for two parameter models except for the very recent preprint by Hosono and Takagi arXiv:2103.08150v2 on abelian fibered CY3. It is our hope that a closer study on the existing literature may lead to a better understanding on the subject. In doing so, we will discuss various topics on deformations of CY3, including the Bryant-Griffiths period map and toric GKZ systems with emphasizes on 1d or 2d models. Birational geometry on CY3 also form an essential technique and it appears that a good knowledge on non-Kahler CY3 is indispensable.Topics and Speakers:Higher genus counting of quintics
You-Cheng CHOU (AS)
Ping-Hsuan CHUANG (NTU)
Po-Sheng WU (NTU)
Complex moduli, period maps and VHS
Tsung-Ju LEE (CMSA Harvard, TIMS)
Shuang-Yen LEE (NTU)
Birational geometry of CY3
Sz-Sheng WANG (AS)
Constructions of non-Kahler CY3
Hsueh-Yung LIN (NTU, NCTS)
BCOV theory
Chin-Lung WANG (NTU, TIMS)Date: June 2, 6, 9, 13, 16, 2023
Time: 9:00 - 11:00, 13:00 - 15:00
Venue: Room 202, Astro-Math Building, NTU
Organizer: You-Cheng CHOU (Academi Sinica), Tsung-Ju LEE (CMSA Harvard, TIMS), Sz-Sheng WANG (Academia Sinica) -
2023-06-02BCOV conjectures on quintic 3-foldsYou-Cheng Chou (Academia Sinica)
2023-06-02 13:00 - 15:00
Room 202, Astronomy and Mathematics Building -
2023-06-02Complex moduli, period maps and VHS I: Special Kahler geometry and BCOV theoryTsung-Ju Lee (Harvard University, USA)
2023-06-02 09:00 - 11:00
Room 202, Astronomy and Mathematics Building -
2023-05-23Period domains for gravitational instantonsTsung-Ju Lee (Harvard University, USA)
2023-05-23 09:30 - 11:00
Room 202, Astronomy and Mathematics Building -
2022-12-30Ricci-Flat Metrics on the Complement of Singular DivisorsYu-Shen Lin (Boston University, USA)
2022-12-30 10:00 - 11:30
Room 202, Astronomy and Mathematics Building -
2022-12-29Kuznetsov components of derived categories and constructions of stability conditions on them (II)Tzu-Yang Chou (University of Edinburgh, UK)
2022-12-29 13:30 - 14:30
Room 440, Astronomy and Mathematics Building -
2022-12-28Stability for line bundles and the deformed Hermitian-Yang-Mills equation on some elliptic surfacesJason Lo (California State University, Northridge)
2022-12-28 13:30 - 14:30
Room 201, Astronomy and Mathematics Building -
2022-12-27Moduli Space of ALH^*-Gravitational InstantonsYu-Shen Lin (Boston University, USA)
2022-12-27 10:00 - 11:30
Room 202, Astronomy and Mathematics Building -
2022-12-22Kuznetsov components of derived categories and constructions of stability conditions on themTzu-Yang Chou (University of Edinburgh, UK)
2022-12-22 13:30 - 14:30
Room 440, Astronomy and Mathematics Building -
2022-12-21TIMS Seminar in Algebraic Geometry (2013-2022)Time: October 30, 2013 - December 30, 2022
Room 201 / 202, Astronomy and Mathematics Building
Room 103, Mathematics Research Center Building (ori. New Math. Bldg.)
Organizers:
Chin-Lung Wang ( National Taiwan University )
Jeng-Daw Yu ( National Taiwan University ) -
2022-10-04A Novel Matrix Concentration Inequality and Error Exponent for Quantum Soft Covering鄭皓中 Hao-Chung Cheng ( National Taiwan University )
2022-10-04 15:30 - 16:30
Room 202 , Mathematics Research Center Building (ori. New Math. Bldg.) -
2022-08-30The Semicontinuity theorem莊家華 ( National Taiwan University )
2022-08-30 14:00 - 16:00
Room 201, Astronomy and Mathematics Building -
2022-08-25The theorem on formal functions陳宗震 ( National Taiwan University )
2022-08-25 14:00 - 16:00
Room 201, Astronomy and Mathematics Building -
2022-08-23Formal schemes張茗遠 ( National Taiwan University )
2022-08-23 14:00 - 16:00
Room 201, Astronomy and Mathematics Building -
2022-08-18Smooth morphisms郭婷婷 ( National Taiwan University )
2022-08-18 14:00 - 16:00
Room 201, Astronomy and Mathematics Building -
2022-08-05Riemann solvers莊家華 ( National Taiwan University )
2022-08-05 14:00 - 16:00
Room 201, Astronomy and Mathematics Building -
2022-07-28Differentials許嘉麟 ( National Taiwan University )
2022-07-28 14:00 - 16:00
Room 202, Astronomy and Mathematics Building -
2022-07-26Higher direct images and its applications許嘉麟 ( National Taiwan University )
2022-07-28 14:00 - 16:00
Room 201, Astronomy and Mathematics Building -
2022-07-21Serre duality陳宗震 ( National Taiwan University )
2022-07-21 14:00 - 16:00
Room 201, Astronomy and Mathematics Building -
2022-07-14Cohomology of Projective Space and Ext Groups and Sheaves張茗遠 ( National Taiwan University )
2022-07-14 14:00 - 16:00
Room 201, Astronomy and Mathematics Building -
2022-07-12TIMS Algebraic Geometry Group Meeting (2022)Programs:
(1) Analytic continuations of quantum cohomology under flops in higher dimensions.
(2) Recent development of Gromov—Witten theory, especially for Calabi—Yau 3-folds.Main speakers:
Ping-Hsun Chuang (NTU)
Po-Sheng Wu (NTU)
Shunag-Yen Lee (NTU)
You-Cheng Chou (Academia Sinica)
Sz-Sheng Wang (Academia Sinica)Date: July 12 (Tue), 14 (Thr), 19 (Tue), 21 (Thr), 27 (Wed), 7/28 (Thr)
Time: 9:30 - 11:30
Venue: Room 204 (TIMS discussion room) (AMB 2F)
Organizers: Chin-Lung Wang and Hui-Wen Lin (TIMS and NTU) -
2022-07-07Cohomology of a Noetherian Affine Scheme and Cech Cohomology郭婷婷 ( National Taiwan University )
2022-07-07 14:00 - 16:00
Room 201, Astronomy and Mathematics Building -
2022-06-30Derived Functors and Sheaf Cohomology莊家華 ( National Taiwan University )
2022-06-30 14:00 - 16:00
Room 201, Astronomy and Mathematics Building -
2022-06-23Differentials陳宗震 ( National Taiwan University )
2022-06-23 14:00 - 16:00
Room 201, Astronomy and Mathematics Building -
2022-06-21TIMS Summer Program: Student Seminar in Algebraic Geometry (Jun. 23 - Sep. 1, 2022)The main goal of this program is to study the Scheme theory which is the foundation for modern algebraic geometry and the Cohomology theory which is the major technique to define numerical invariants.The audiences have to be equipped with the background on Chapter I and Chapter II (2.1~2.7) of the book “R. Hartshorne: Algebraic Geometry”.Contents:
1. Intrinsic geometry:
1.1 Sheaves of differential: algebraic version of differential forms
1.2 Formal schemes: they carry information about all the infinitesimal neighborhoods.
2. Cohomology theory:
We intend to define it by using derived functors and to compute it by introducing Cech cohomology. We also show some important vanishing theorems and combine them with Serre duality to give some applications in flat family、smooth family, including Zariski’s main theorem and base change theorem of cohomology.Speakers: 陳宗震、郭婷婷、張茗遠、許嘉麟、莊家華Date: June 23 - September 1, 2022Time: Every Tuesday and Thursday, 14:00 - 16:00Venue: Room 201, Astro-Math Building, NTUOrganizer: Prof. Hui-Wen Lin (Dept. of Mathematics, NTU & TIMS) -
2021-08-25On the VHS of Clemens manifoldsTsung-Ju Lee (Harvard University, USA)
2021-08-25 10:00 - 11:30
Room 201, Astronomy and Mathematics Building -
2019-03-29Taylor coefficients of t-motivici multiple zeta values and their logarithmic interpretationsChieh-Yu Chang ( National Tsing Hua University )
2019-03-29 10:30 - 11:30
Room 103, Mathematics Research Center Building (ori. New Math. Bldg.) -
2019-03-29TIMS Taipei Number Theory Seminar (2015-2019)Time: September 18, 2015- March 29, 2019
Room 103, Mathematics Research Center Building (ori. New Math. Bldg.)
Organizers:
Liang-Chung Hsia ( National Taiwan Normal University )
Julie Tzu-Yueh Wang ( Academia Sinica )
Jing Yu ( National Taiwan University & Taida Institute for Mathematical Sciences ) -
2019-03-15The shifted sieve method on tournamentsYu-Ru Liu ( University of Waterloo, Canada )
2019-03-15 10:30 - 11:30
Room 202, Astronomy and Mathematics Building -
2019-02-22On the L-functions of power moments of Kloosterman sumsJeng-Daw Yu ( National Taiwan University )
2019-02-22 10:30 - 11:30
Room 103, Mathematics Research Center Building (ori. New Math. Bldg.)