Vishnu Mangalath will give the Seminar’s tenth talk in Semester 2 tomorrow afternoon on Zoom. Please find the details below. Anyone desiring to attend the talk or join the mailing list is warmly invited to get in touch: [email protected]. Title: The Chern character Abstract: In this lecture we will define the Chern character, which gives us a convenient homomorphism from K-theory to ordinary singular cohomology. As an application, we will see that the tangent bundle of an even-dimensional sphere does not admit a complex structure. Time and date: 3 pm Wednesday 11 November Seminar website: https://www.maths.usyd.edu.au/u/ciappara/SAS.html