2018 Koriyama Geometry and Physics Days "Noncommutative geometry and related topics": Feb 23- 24, 2018

Koriyama Geometry and Physics Days 2018 "Noncommutative geometry and related topics"

日本大学工学部（福島県郡山市）　55号館5階大学院講義室,
2018年2月23日(金)　---　2月24日(土)　
アクセス, ; 郡山駅--キャンパス間バス時刻表 ; 郡山駅周辺ホテル

テーマ:
非可換幾何学、その他

講演者:
Ernesto Lupercio (Cinvestav-IPN),
宮崎直哉 Naoya Miyazaki (慶応大学)
佐古彰史 Akifumi Sako（東京理科大学)
郡敏昭 Tosiaki Kori (早稲田大学)
金子吉樹 Yoshiki Kaneko (早稲田大学)
東郷拓己 Takumi Togo (早稲田大学)
岩崎真央 Mao Iwasaki (早稲田大学)
乙藤隆史 Takashi Otofuji (日本大学)

時間割：
2月23日(金)
1010-1110 Kaneko: Introduction to orbifolds

Coffee Break

1130-1230 Lupercio: Lecture 1: An introduction to non-commutative geometry

(Lunch)

1400-1500 Togo: Introduction to equivariant cohomology and localization

Coffee Break

1520-1620 Lupercio: Lecture 2: Quantum toric geometry

1630-1730 Kori: Vortex type symplectic structures on Yang-Mills fields related to the electro-magnetic aspects of the fields

2月24日(土)
1010-1110 Iwasaki: Introduction to the work of Bridgeland - Toledano Laredo

Coffee Break

1130-1230 Miyazaki: Quantization (slides)

1240-1330 (Lunch meeting) Otofuji: What is the Kontsevich formality?

1340-1440 Sako: Lecture 1: Noncommutative Kähler manifolds ---from Karabegov's deformation quantization ---

Coffee Break

1500-1600 Sako: Lecture 2: Quantum scalar field theories on noncommutative R², R⁴ and R⁶ as solvable models

1610-1710 Lupercio: Lecture 3: Complexity, self-organized criticality, an application to seismology

講演要旨:
Ernesto Lupercio
Quantum Toric Geometry:
In this talk I will survey our investigations regarding quantum toric varieties (Katzarkov, Lupercio, Meersseman, Verjovsky), its relation to sandpiles, tropical geometry and complex systems (Guzman, Kalinin, Lupercio, Prieto, Shkolnikov) and Mirror Symmetry (Katzarkov, Kerr, Lupercio, Meerssemann). Quantum toric varieties are equivariant compactifications of complex quantum tori.

Naoya Miyazaki
Quantization (slides)
In this talk. I will explain notion of (contact) Weyl manifold and relationship (contact) Weyl manifold and deformation quantization both are playing important roles in non-commutative geometry. If possible, I would like to survey automorphisms of classical system and quantum system.

Takashi Otofuji
What is the Kontsevich formality?
I will explain a formulation of the Kontsevich formality and show how it implies the Duflo isomorphism.

世話人: マーティンゲスト（早稲田大学)、乙藤隆史（日本大学）

本研究集会は科研費基盤研究 (A) 25247005 (研究代表者: マーティンゲスト)および科研費挑戦的萌芽研究16K13759 (研究代表者: 乙藤隆史)の援助を受けています。

過去の KGPD:
2017年2月 ; 2016年2月 ; 2014年10月 ; 2014年2月 ; 2012年2月

TMUGS