Columbia Universy Edutnal Outreach - Mih Gay

Contents:

• MIH GAY
• MIH GAY
• ON ‘THAT’S SO GAY’ AND LEARNG MATH
• DESANTIS WARNS THAT MATH MAK CHILDREN GAY
• MIH GAY

MIH GAY

Mih Gay.

MICAH GAY, Columbia Universy sophomore studyg mathematics. We beg by troducg (stable) homotopy groups of spac.

MIH GAY

Once motivated, we will fe spectra and show that they rever stable homotopy groups. Fally, we will discs the relatnship between spectra and homology theori, discsg the Eilenberg-MacLane spectm and Brown reprentabily. I will also try to nvey some sense of the key gredients, such as quantum homology and Gromov-Wten theory, and how they relate to subsequent velopments.

ON ‘THAT’S SO GAY’ AND LEARNG MATH

Khovanov Homology and.

We will sketch some problems knot theory, and discs some knot variants cludg Jon polynomial and Khovanov homology. In dog so we will venture through Lie algebra homology. Knot Floer homology, borred algebras and double pots.

DESANTIS WARNS THAT MATH MAK CHILDREN GAY

Heegaard Floer Homology and the Fundamental Group. Knot Contact Homology.

MIH GAY

Applitns of knot Floer homology to the nrdance group. Borred Floer homology and knot plements.

Knot Floer Homology: Properti and Computatns. Knots, triple branched vers, and Heegaard Floer Homology.