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Research Past Conferences and Workshops 2013 AY The 6th MSJ-SI — Development of Moduli Theory

Update: 2016/03/29

Research

The 6th MSJ-SI — Development of Moduli Theory

Poster [PDF/988KB]

Period: June 11–14, 2013 (Lecture Series)
June 17–21, 2013 (Conference)
Place: Room 420, RIMS, Kyoto University
Lecture Series: Igor Dolgachev (University of Michigan), Eduard Looijenga (Universiteit Utrecht), Hiraku Nakajima (Kyoto University), Iku Nakamura (Hokkaido University), Carlos Simpson (Université de Nice-Sophia Antipolis)
Conference Speakers include: Valery Alexeev (University of Georgia), Tom Bridgeland (University of Oxford), Igor Dolgachev (University of Michigan), Gavril Farkas (Humboldt Universität zu Berlin), Brendan Hassett (Rice University), Daniel Huybrechts (Universität Bonn), JongHae Keum (Korea Institute for Advanced Study), Bumsig Kim (Korea Institute for Advanced Study), Radu Laza (Stony Brook University), Eduard Looijenga (Universiteit Utrecht), Takuro Mochizuki (Kyoto University), Shigeru Mukai (Kyoto University), Hiraku Nakajima (Kyoto University), Iku Nakamura (Hokkaido University), Viacheslav V. Nikulin (University of Liverpool), Carlos Simpson (Université de Nice-Sophia Antipolis), Kota Yoshioka (Kobe University)
Organizer: Osamu Fujino (Kyoto University), Shigeyuki Kondo* (Nagoya University), Atsushi Moriwaki (Kyoto University), Shigeru Mukai (Kyoto University), Noboru Nakayama (Kyoto University), Masa‑Hiko Saito (Kobe University), Kota Yoshioka (Kobe University)
* Chair
Support: Mathematical Society of Japan: Seasonal Institute 2013 (MSJ-SI); Research Institute of Mathematical Science, Kyoto University: 2013 Research Project; JSPS Grant-in-Aid for Scientific Research (S) No 22224001 (Shigeyuki Kondo (Nagoya University)); JSPS Grant-in-Aid for Scientific Research (S) No 24224001 (Masa‑Hiko Saito (Kobe University))

Lecture Series

Igor Dolgachev (University of Michigan)

Introduction to the theory of Enriques sufraces

Lecture Note (by Speaker) [PDF/293KB] Lecture Note [PDF/6.3MB]
Eduard Looijenga (Universiteit Utrecht)

Moduli spaces and Shimura varieties

Lecture Note (by Speaker) [PDF/183KB] Lecture Note [PDF/446KB]
Hiraku Nakajima (Kyoto University)

Instanton and representation theory

Lecture Note 1-1 (by Speaker) [PDF/1.1MB] Lecture Note 1-2 (by Speaker) [PDF/1.3MB]

Lecture Note 1-3 (by Speaker) [PDF/766KB] Lecture Note 2 [PDF/353KB]
Iku Nakamura (Hokkaido University)

Compactification of the moduli of abelian varieties

Lecture Note (by Speaker) [PDF/124KB]
Carlos Simpson (Université de Nice-Sophia Antipolis)

A study of moduli of stable bundles

Lecture Note [PDF/1.6MB]

	June 11 (Tue)	June 12 (Wed)	June 13 (Thu)	June 14 (Fri)
10:00–11:00	Nakamura	Nakamura	Nakamura	Looijenga
11:30–12:30	Dolgachev	Dolgachev	Dolgachev	Nakajima
14:30–15:30	Looijenga	Simpson	Nakajima†	Simpson
16:00–17:00	Nakajima	Looijenga†	Simpson

† The program of the lecture series was changed.

Conference

June 17 (Mon)
10:00–11:00	Registration
11:00–12:00	Igor Dolgachev (University of Michigan) Rational self-maps of moduli spaces
14:00–15:00	Bumsig Kim (Korea Institute for Advanced Study) Quasimap invariants and mirror maps
15:30–16:30	Eduard Looijenga (Universiteit Utrecht) Ball quotients and arrangements
17:00–	Welcome Party
June 18 (Tue)
10:00–11:00	Valery Alexeev (University of Georgia) Degenerations of Prym–Tyurin varieties
11:30–12:30	Iku Nakamura (Hokkaido University) Complete moduli spaces of degenerate abelian varieties
14:30–15:30	Carlos Simpson (Université de Nice-Sophia Antipolis) Behavior at infinity of the correspondences between moduli spaces of representations, bundles with connection, and Higgs bundles
16:00–17:00	Takuro Mochizuki (Kyoto University) Nahm transforms for harmonic bundles
June 19 (Wed)
10:00–11:00	Gavril Farkas (Humboldt Universität zu Berlin) Mukai models for moduli spaces of odd theta characteristics
11:30–12:30	Daniel Huybrechts (Universität Bonn) Curves and cycles on K3 surfaces
14:30–15:30	Tom Bridgeland (University of Oxford) Derived categories of K3 surfaces
16:00–17:00	Shigeru Mukai (Kyoto University) TBA
June 20 (Thu)
10:00–11:00	Brendan Hassett (Rice University) del Pezzo fibrations and K3 surfaces
11:30–12:30	JongHae Keum (Korea Institute for Advanced Study) Orders of automorphisms of K3 surfaces
14:30–15:30	Hiraku Nakajima (Kyoto University) Perverse sheaves on instanton moduli spaces and AGT conjecture
16:00–17:00	Kota Yoshioka (Kobe University) Bridgeland stability and stable sheaves on abelian surfaces
June 21 (Fri)
10:00–11:00	Radu Laza (Stony Brook University) Hermitian variations of Hodge structure of Calabi–Yau type
11:30–12:30	Viacheslav V. Nikulin (University of Liverpool) Kählerian K3 surfaces and Niemeier lattices

† The program of the conference in June 20th and 21st were changed.