The winter school on Algebraic Geometry is organized by the Institute of Mathematics – Vietnam Academy of Science and Technology. It consists of two lecture series introducing basic notions and results in algebraic geometry. The participants include master students and PhD students. Last year undergraduate students and interested person can attend also

Dates and Venue

The school will be held in four days, from October 17 to October 20, 2018, at the Institute of Mathematics (IMH) – Vietnam Academy of Science and Technology (VAST)

Address: 18 Hoang Quoc Viet, Cau Giay, Hanoi

Organizing committee

Doan Trung Cuong, Phung Ho Hai, Ngo Viet Trung

Lectures

The winter school on Algebraic Geometry consists of two lecture series given by

1. Sijong Kwak (Korea Advanced Institute of Science and Technology KAIST): Introduction to the structure of Betti tables of projecive subschemes

Abstract: This is an introductory course on Betti tables of projective subschemes with an emphasize on projective varieties (irreducible, and reduced algebraic sets) Basic invariants of projective varieties and classifications of varieties with the maximal Betti numbers and examples with the maximal regularity of the structure sheaves are introduced.

We also explain many classical examples of varieties, for example, varieties of minimal degree, del Pezzo varieties, Fano varieties, scrolls over curves, Veronese varieties, and Segre varieties, etc. These varieties appear in the boundaries of some inequalities on projective invariants.

References:

[1] R. Hartshorne, Algebraic Geometry (First Chapter).

[2] Joe Harris, Algebraic Geometry, a first course.

[3] D. Eisenbud, The Geometry of Syzygies

2. Ngo Viet Trung (Institute of Mathematics –VAST): Introduction to Algebraic Geometry

Abstract: This is an introductory course on Algebraic Geometry with an emphasize on the algebraic side. Basic concepts of Algebraic Geometry and their counterparts in Commutative Algebra will be presented simultaneously. The students only need to know higher algebra as usually taught in an undergraduate program.

References:

[1] R. Hartshorne, Algebraic Geometry (First Chapter).

[2] N.V. Trung, Nhập môn Đại số giao hoán và Hình học Đại số (Chương 1-7).

There are also exercise sessions run by

1. Nguyen Dang Hop (Institute of Mathematics – VAST)
2. Junho Choe (Korea Advanced Institute of Science and Technology KAIST)

Sponsor

The Institute of Mathematics – Vietnam Academy of Science and Technology

Registration and Support

There are no registration fee. Participants are required to register by sending the registration form (download here) to Doan Trung Cuong ( This email address is being protected from spambots. You need JavaScript enabled to view it. ) by September 15, 2018.

We are able to provide support (full accommodation and partly travelling expense) for a limited number of young Vietnamese participants. In order to apply for the support, please send your registration form together with a recommendation letter from a mathematician or your university to Doan Trung Cuong ( This email address is being protected from spambots. You need JavaScript enabled to view it. ) not later than September 15, 2018.

Time table