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Apr 20

G&T Seminar
Bill Menasco (Buffalo)

Distance and intersection number in the curve complex

Abstract: Let $S_g$ be a closed oriented surface of genus $g \geq 2$ and $\mathcal{C}^1(S_g)$ be its curve complex—vertices are homotopy classes of essential simple closed curves with two vertices sharing an edge if they have disjoint representatives. It is known that $\mathcal{C}(S_g)$ is path connected , and the
distance, $d(\alpha , \beta)$, between two vertices $\alpha , \beta \in \mathcal{C}^1(S)$ is just the minimal count of the number of edges in an edge-path between $\alpha$ and $\beta$. One can also consider, $ i(\alpha , \beta)$, the minimal intersection between curve representatives of $\alpha$ and $\bet$. This talk discusses how $i(\alpha , \beta)$ will grow as $d(\alpha, \beta)$ grows. This is joint work with Dan Margalit.
4:00PM, Fri Apr 20 2018, 122 Math

Apr 23

Algebra Seminar- Joshua Eike from Brandeis University
Regular Languages and Growth in Groups
4:00PM, Mon Apr 23 2018, 250 Math Building

Apr 26

Tenured faculty meeting
4:00PM, Thu Apr 26 2018, 250 Math Bldg.

May 4

G&T Seminar
Angelica Deibel (Brandeis)
4:00PM, Fri May 4 2018, 122 Math

May 7

Algebra Seminar
Shizhuo Zhang, Indiana University
4:00PM, Mon May 7 2018, 250 Mathemtics Bldg.

May 11

Last Day of Classes
Friday, May 11, 2018