MAT 542: Algebraic Topology II
Stony Brook University - Spring 2020
About the course
The course will cover homotopy groups, homotopy sequences of pairs and triples, locally trivial fibrations and Serre fibrations, the homotopy exact sequence of a Serre fibration, excision for homotopy groups, stable homotopy groups, extension problems, the obstruction cochain with values in homotopy groups of the fiber, for a crosssection, obstruction theory, Stiefel-Whitney and Euler classes of a vector bundle, Chern classes of a complex vector bundle.
Prerequisites
basic point set topology, fundamental groups and covering spaces. A
background in algebraic topology is not required, but certainly may be
useful.
Lecturer
Oleg ViroProfessor, Ph.D. 1974, Doctor Phys-Mat.Sci. 1983,
both from Leningrad State University.
Arrived at Stony Brook in 2007.
Office: Math Tower 5-110
Phone: (631) 632-8286
Email: oleg.viro AT stonybrook.edu
Web page: www.math.stonybrook.edu/~oleg
Research fields: Topology and Geometry,
especially low-dimensional topology
and real algebraic geometry.
Lectures time and location
Tuesdays and Thursdays 10:00am - 11:20pm in Zoom,
Meeting ID 445-647-2936
Required meeting password 237386
Meeting ID 445-647-2936
Required meeting password 237386
Online lectures
Homeworks
Office hours
Tuesdays and Thursdays 5:30pm - 7:00pm in Zoom,
Meeting ID 445-647-2936
Required meeting password 237386
or by appointment.
Meeting ID 445-647-2936
Required meeting password 237386
or by appointment.
Disabilities
If you have a physical, psychological, medical, or learning disability that
may impact your course work, please contact Disability Support
Services or call (631) 632-6748. They will determine with you what accommodations are necessary and appropriate. All information and documentation is confidential.
Students who require assistance during emergency evacuation are encouraged
to discuss their needs with their professors and Disability Support
Services. For procedures and information go to the Evacuation
Guide for People with Physical Disabilities.
Academic Integrity
Each student must pursue his or her academic goals honestly and be
personally accountable for all submitted work. Representing another
person's work as your own is always wrong. Faculty are required to report
any suspected instances of academic dishonesty to the Academic Judiciary.
For more comprehensive information on academic integrity, including
categories of academic dishonesty, please refer to the academic judiciary
website.
Critical Incident Management
Stony Brook University expects students to respect the rights, privileges, and property of other people. Faculty are required to report to the Office of Judicial Affairs any disruptive behavior that interrupts their ability to teach, compromises the safety of the learning environment, or inhibits students' ability to learn.