
Weiyan Chen
Tue Apr 17, 2018
3:00 pm
It is a classical topic dating back to Maclaurin (1698–1746) to study certain special points on smooth cubic plane curves, such as the 9 inflection points (Maclaurin and Hesse), the 27 sextatic points (Cayley), and the 72 points "of type 9" (Gattazzo). Motivated by these algebrogeometric constructions, we ask the following...

Xin Dong
Tue Apr 17, 2018
3:00 pm
We study variations of the Bergman kernel and their asymptotic behaviors at degeneration. For a holomorphic family of hyperelliptic nodal or cuspidal curves and their Jacobians, we announce our results on the Bergman kernel asymptotics near various singularities. For genustwo curves particularly, asymptotic formulas with precise coefficients...

Rongjie Lai
Mon Apr 16, 2018
4:00 pm
Analyzing and inferring the underlying global intrinsic structures of data from its local information are critical in many fields. In practice, coherent structures of data allow us to model data as low dimensional manifolds, represented as point clouds, in a possible high dimensional space. Different from image and signal processing which handle...

Fernando
Fri Apr 13, 2018
1:00 pm
I will give a proof of Furstenberg's Theorem. We restrict ourselves to SL(2,R) cocycles. This is the first out of two lectures.

Bryden Cais
Thu Apr 12, 2018
3:00 pm
Let Y > X be a branched Gcovering of curves over a field k. The genus of X and the genus of Y are related by the famous Hurwitz genus formula. When k is perfect of characteristic p and G is a pgroup, one also has the DeuringShafarevich formula which relates the prank of X to that of Y. In this talk, we will discuss...

Amir Moradifam
Mon Apr 9, 2018
4:00 pm
We study the inverse problem of determining both the source of a wave and its speed inside a medium from measurements of the solution of the wave equation on the boundary. This problem arises in photoacoustic and thermoacoustic tomography, and has important applications in medical imaging. We prove that if $c^{2}$ is harmonic in $\omega \subset \...

Heather Macbeth
Tue Apr 3, 2018
4:00 pm
By a gluing construction, we produce steady KahlerRicci solitons on equivariant crepant resolutions of C^n/G, where G is a finite subgroup of SU(n), generalizing Cao's construction of such a soliton on a resolution of C^n/Z_n. This is joint work with Olivier Biquard.