The school will study hyperplane arrangements using classical tools from topology, geometry, algebra and combinatorics. The main focus will be on the topology of the complement of a complex hyperplane arrangement. The four courses will be run in parallel. Two courses Introduction to Homotopy Theory and Representation Theory will introduce students with neccesary tools. Then the rest two courses will introduce the combinatorial study of hyperplane arrangements as well as the fundamental group of the complement of a hyperplane arrangement.
These courses are addressed to advanced undergraduate students, graduate students and young researchers from South East Asian countries. There are also tutorial sessions.
The official language of the school is English
Website conference: http://math.ac.vn/conference/seam18
Date: from March 05 – March 16, 2018
Place: Institute of Mathematics, Vietnam Academy of Science and Technology, 18 Hoang Quoc Viet road, Cau Giay district, Hanoi, Vietnam.
ORGANIZERS
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Alexandru Dimca (Université de Nice-Sophia Antipolis, Frace) This email address is being protected from spambots. You need JavaScript enabled to view it.
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Nguyen Viet Dung (Institute of Mathematics, VAST, Vietnam) This email address is being protected from spambots. You need JavaScript enabled to view it.
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Phung Ho Hai (Institute of Mathematics, VAST, Vietnam) This email address is being protected from spambots. You need JavaScript enabled to view it.
SPEAKERS
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1. Clément Dupont; Université de Montpellier, Montpellier, France.
2. Ivan Marin; Université de Picardie Jules Verne, Amiens, France.
3. Nguyen Viet Dung; Institute of Mathematic, VAST, Hanoi, Vietnam.
4. Nguyen Tat Thang; Institute of Mathematic, VAST, Hanoi, Vietnam.
5. Nguyen Bich Van; Institute of Mathematic, VAST, Hanoi, Vietnam.
PARTICIPANTS
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LIST OF PARTICIPANTS
|
Name |
Sex |
Address |
Country |
Position |
|
Muhammad Taufik bin Mohd Yusof |
Male |
Universiti Kebangsaan Malaysia |
Malaysia |
Graduate Student |
|
Ni Wayan Switrayni |
Female |
Mataram University |
Indonesia |
Graduate Student |
|
Almira Larassanti Puspa |
Female |
University of Brawijaya |
Indonesia |
Undergraduate Student |
|
Rian Kurnia |
Male |
Bogor Agricultural University |
Indonesia |
Undergraduate Student |
|
Siti Zahidah |
Female |
Universitas Airlangga |
Myanmar |
Graduate Student |
|
Vanny Khon |
Male |
Royal University of Phnom Penh |
Cambodia |
Graduate Student |
|
Đỗ Tuấn Anh |
Male |
Hanoi University of Education II |
Vietnam |
Graduate Student |
|
Nguyễn Thị Quyên |
Female |
Hanoi University of Education |
Vietnam |
Graduate Student |
|
Nguyễn Đình Vũ |
Male |
University of Danang - Institute of Mathematics, VAST |
Vietnam |
Graduate Student |
|
Vương Văn Yên |
Male |
Hanoi University of Education |
Vietnam |
Graduate Student |
|
Chu Thị Mai Hồng |
Female |
Hanoi University of Education - Institute of Mathematics, VAST |
Vietnam |
Graduate Student |
|
Trịnh Duy Bình |
Male |
Hanoi University of Education |
Vietnam |
Graduate Student |
|
Nguyễn TrầnĐức |
Male |
Quy Nhon University |
Vietnam |
Graduate Student |
|
Vũ Thị Dương |
Female |
Hanoi University of Education II |
Vietnam |
Graduate Student |
|
Đặng Văn Đoạt |
Male |
Thang Long highschool for gifted pupils, Dalat |
Vietnam |
Graduate Student |
|
Nguyễn Lương Thái Bình |
Male |
Saigon University |
Vietnam |
Graduate Student |
|
Hoàng Phi Dũng |
Male |
University of Post and Telecommunication |
Vietnam |
Graduate Student |
|
Kiều Hữu Dũng |
Male |
University of Transportation |
Vietnam |
Graduate Student |
|
Nguyễn Thu Hằng |
Female |
Hanoi University of Sciences |
Vietnam |
Graduate Student |
|
Võ Thị Trúc Giang |
Female |
Tien Giang University |
Vietnam |
Graduate Student |
|
Phạm Thanh Tâm |
Male |
Hanoi University of Education II |
Vietnam |
Graduate Student |
|
Trần Thị Gia Lâm |
Female |
Phu Yen University |
Vietnam |
Graduate Student |
|
Nguyễn Thanh Nga |
Female |
Banking Academy |
Vietnam |
Graduate Student |
|
Lê Viết Cường |
Male |
University of Civil Engineering |
Vietnam |
Graduate Student |
|
Lê Thị Thu Giang |
Female |
University of Trade |
Vietnam |
Graduate Student |
|
Đỗ Thái Dương |
Male |
Institute of Mathematics, VAST |
Vietnam |
Graduate Student |
SCHEDULE
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TENTATIVE SCHEDULE
(All lectures will be held in the Lecture Hall 611/612, Building A6)
|
|
9:00 - 11:00 |
11:15 - 12:00 |
14:00 - 16:00 |
16:15 - 17:00 |
|
5/3/2018 |
Lecture 4 (N. B. Van) |
Lecture 4 (N. B. Van) |
Lecture 3 (N. V. Dung) |
Lecture 3 (N. V. Dung) |
|
6/3/2018 |
Lecture 3 (N. V. Dung) |
Lecture 3 (N. V. Dung) |
Lecture 4 (N. B. Van) |
Lecture 4 (N. B. Van) |
|
7/ 3/2018 |
Lecture 2 (I. Marin) |
Tutor (N. T. Thang) |
Lecture 1 (C. Dupont) |
Tutor (N. B. Van) |
|
8/3/2018 |
Lecture 2 (I. Marin) |
Tutor (N. T. thang) |
Lecture 1 (C. Dupont) |
Lecture 4 (N. B. Van) |
|
9/3/2018 |
Lecture 2 (I. Marin) |
Lecture 3 (N. V. Dung) |
Lecture 1 (C. Dupont) |
Tutor (N. B. van) |
|
12/3/2018 |
Lecture 1 (C. Dupont) |
Lecture 4 (N. B. Van) |
Lecture 2 (I. Marin) |
Lecture 3 (N. V. Dung) |
|
13/3/2018 |
Lecture 1 (C. Dupont) |
Tutor (N. T. Thang) |
Lecture 2 (I. Marin) |
Lecture 4 (N. B. Van) |
|
14/3/2018 |
Lecture 1 (C. Dupont) |
Tutor (N. B. Van) |
Lecture 2 (I. Marin) |
Tutor (N. T. Thang) |
|
15/3/2018 |
Lecture 2 (I. Marin) |
Tutor (N. B. Van) |
Lecture 1 (C. Dupont) |
Tutor (N. T. Thang) |
|
16/3/2018 |
Lecture 1 (C. Dupont) |
Tutor (N. B. Van) |
Lecture 2 (I. Marin) |
Tutor (N. T. Thang) |
The list of lectures:
1) Clément Dupont: Hyperplane Arrangements: Combinatorics and Cohomology
2) Ivan Marin: Hyperplane Arrangements: Fundamental groups
3) Nguyen Viet Dung: Introduction to Homotopy Theory
4) Nguyen Bich Van: Representation Theory
LECTURES
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Lecture 1: Hyperplane Arrangements: Combinatorics and Cohomology
(speaker: Clement Dupont)
Abstract: This course will introduce the combinatorial study of hyperplane arrangements (posets, matroids) and present topological and geometric invariants of arrangements that are combinatorially determined.
Lecture 2: Hyperplane Arrangements: Fundamental Groups
(speaker: Ivan Marin)
Abstract: This course will focus on the fundamental group of the complement of a hyperplane arrangement, and establish the necessary topological preliminaries : fundamental group, homology, cohomology. It will also present the case of reflection arrangements, whose study yields to the (generalized) braid groups and their presentations.
Lecture 3: Introduction to Homotopy Theory
(speaker: Nguyen Viet Dung)
Abstract: The course offers an introduction to elementary homotopy theory centered around the fundamental group of a topological space and covering spaces.
The course will start with a reminder about the fundamental knowledge of general topology. Next, the course will introduce the homotopy relation on maps, define the (higher) homotopy groups of a space. The course put an emphasis on the fundamental group and prove some basic properties about them as well as compte the fundamental group for some familiar spaces, using the Van Kampen theorem. Finally, the course introduce the covering spaces and the lifting theorem in connection with the action of the fundamental group.
Lecture 4: Representation Theory
(speaker: Nguyen Bich Van)
Abstract: The main aim of the course will be to understand the classification of finite reflection groups. The course will begin with an introduction to theory of representation. Then the course will focus on finite reflection groups. We will introduce the notion of root systems, Coxeter graphs and Coxeter groups, classification of Coxeter groups. Some combinatorial aspects will also be covered.