Fall 2022 - MATH 800 G100

Mathematics: Selected Topics (4)

Geometry Algebraic Applications

Class Number: 7422

Delivery Method: In Person

Overview

  • Course Times + Location:

    Sep 7 – Dec 6, 2022: Tue, Thu, 10:30 a.m.–12:20 p.m.
    Burnaby

Description

COURSE DETAILS:

Topic: Geometry of Algebraic Applications  

In this course we will study algebraic curves on a level beyond that of an introductory course.

Exact contents of the course can be tuned to the participants, but will likely include:

  • The Jacobian of a curve, as a complex manifold and as an algebraicvariety
  • Special divisors; Brill-Noether theory
  • The Torelli theorem

Grading

  • Assigned problems 30%
  • Participation and in-class presentation of solutions 20%
  • Final exam 50%

REQUIREMENTS:

Introductory course into algebraic geometry, roughly at the level of Fulton's "Algebraic Curves".

This course is delivered in person, on campus. Should public health guidelines recommend limits on in person gatherings, this course may include virtual meetings. As such, all students are recommended to have access to strong and reliable internet, the ability to scan documents (a phone app is acceptable) and access to a webcam and microphone (embedded in a computer is sufficient). 

Materials

REQUIRED READING:

Arbarello, E.; Cornalba, M.; Griffiths, P. A.; Harris, J.

Geometry of algebraic curves. Vol. I.

Grundlehren der mathematischen Wissenschaften [Fundamental Principles of

Mathematical Sciences], 267. Springer-Verlag, New York, 1985. xvi+386

pp. 

https://sfu-primo.hosted.exlibrisgroup.com/permalink/f/usv8m3/01SFUL_ALMA21159499990003611
ISBN: 0-387-90997-4

REQUIRED READING NOTES:

Your personalized Course Material list, including digital and physical textbooks, are available through the SFU Bookstore website by simply entering your Computing ID at: shop.sfu.ca/course-materials/my-personalized-course-materials.

Graduate Studies Notes:

Important dates and deadlines for graduate students are found here: http://www.sfu.ca/dean-gradstudies/current/important_dates/guidelines.html. The deadline to drop a course with a 100% refund is the end of week 2. The deadline to drop with no notation on your transcript is the end of week 3.

Registrar Notes:

ACADEMIC INTEGRITY: YOUR WORK, YOUR SUCCESS

SFU’s Academic Integrity website http://www.sfu.ca/students/academicintegrity.html is filled with information on what is meant by academic dishonesty, where you can find resources to help with your studies and the consequences of cheating. Check out the site for more information and videos that help explain the issues in plain English.

Each student is responsible for his or her conduct as it affects the university community. Academic dishonesty, in whatever form, is ultimately destructive of the values of the university. Furthermore, it is unfair and discouraging to the majority of students who pursue their studies honestly. Scholarly integrity is required of all members of the university. http://www.sfu.ca/policies/gazette/student/s10-01.html