Robin Deeley (CU Boulder) An Introduction to C*-Algebras

Wed, Jan. 29 4pm (MATH 350)

Grad Student Seminar

Juan Moreno (CU Boulder)

X

The idea behind obstruction theory is that, given a fiber bundle, the existence of a section is determined by a particular cohomology class of the base space. This class is an obstruction in the sense that if it is zero in the cohomology ring, then a section exists. In this talk, we will consider the particular problem of finding linearly independent sections of vector bundles. This problem turns out to be equivalent to finding a single section of an associated bundle (Stiefel bundle). We will find that the corresponding obstruction to the existence of this section generally lies in a 'twisted' version of cohomology.

Obstruction theory and local coefficients

Wed, Jan. 29 5pm (Math 350)

MathClub

Elizabeth (Boo) Grulke (CU Boulder)

X

How students think of mathematics is related to their approach to learning and falls into one of two categories, fragmented or cohesive conceptions of math. This mixed-method study investigated using online discussions to encourage development of cohesive math conceptions in a face-to-face math course at a large metropolitan university. Students participated in either concept-connecting (n=71) or context-focused (n=79) online discussions. While studentsâ€™ conceptions of mathematics in both groups became more cohesive, their surface approaches to learning also significantly increased. However, deep approaches to learning significantly increased only for the concept-connecting group. Women were found to enjoy and find the discussions more useful than men and women in concept-connecting discussions demonstrated higher exam scores and overall course grades.

A Mixed-Method Study of Online Discussion in Mathematics