• A
• A
• A
• АБB
• АБB
• АБB
• А
• А
• А
• А
• А
Обычная версия сайта
2016/2017

## Научно-исследовательский семинар "Выпуклая и алгебраическая геометрия 2"

Статус: Дисциплина общефакультетского пула
Когда читается: 3, 4 модуль
Язык: английский
Кредиты: 3

### Course Syllabus

#### Abstract

This course is aimed as an introduction to a variety of mathematical fields which all have a common theme – convex geometry. The classes consist of either a lecture or a talk by one of the students. The students are encourage to take one of the topics from the course as a research project. #### Learning Objectives

• Acquaintance with the basic notions, methods, and problems of convex geometry.
• Acquiring an idea of the role of convex geometry in other areas of mathematics (algebra, geometry, analysis, etc.)
• Acquiring the skills of applying methods and constructions of convex geometry to scientific research in various areas of mathematics. #### Expected Learning Outcomes

• Knowledge of the basic notions, methods and problems of convex geometry.
• Skills of applying methods and construction of convex geometry in other areas of mathematics.
• Experience in independent study of topical mathematical literature #### Course Contents

• Patchworking
• Bernstein-Kushnirenko Theorem
• Fiber polytopes and polyhedral subdivisions
• Tropical Geometry
• Coxter groups and polytopes
• Number of faces of a convex polytope #### Assessment Elements

• Final exam #### Interim Assessment

• Interim assessment (4 module)
O_{current} = O_{homework}*0.8 + O_{independent works}*0.2 O_{midterm/final} = O_{current}*0.2 + O_{final exam}*0.8 #### Recommended Core Bibliography

• Erwan Brugallé, Mariá Angélica Cueto, Alicia Dickenstein, Eva-Maria Feichtner, & Ilia Itenberg. (2013). Algebraic and Combinatorial Aspects of Tropical Geometry. [N.p.]: AMS. Retrieved from http://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=edsebk&AN=974654