Tue, September 18, 2018
Public Access

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September 2018
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4:00pm [4:00pm] Sayani Bera, Ramakrishna Mission Vivekanada Educational and Research Institute.
Analysis Seminar Speaker: Sayani Bera, Ramakrishna Mission Vivekanada Educational and Research Institute. Date and Time: 4:00 pm, Tuesday, 18th September. Venue: Ramanujan Hall, Department of Mathematics. Title: Non-autonomous basins of attraction and short Ck's. Abstract: In this talk, we first define the dynamical setting of a non-autonomous system and its relation to Bedford conjecture. Further, we will discuss about Short Ck's that arises as basins of attraction of a fixed point in the non-autonomous setting. Lastly, we will see some methods to construct short Ck's with pathological properties and discuss some related problems.

5:00pm [5:00pm] Dhruv Ranganathan
CACAAG seminar. Speaker: Dhruv Ranganathan Time & Date: 5pm Tuesday, September 18. Venue: Room 215 Title and abstract: Curves, maps, and singularities in genus one I will outline a new framework based on tropical geometry to study genus one curve singularities and discuss its relationship with the geometry of moduli spaces. I will focus on the application of this framework to construct new nonsingular compact moduli spaces parameterizing elliptic curves in projective space. This also reveals a modular interpretation for Vakil and Zinger’s famous desingularization of the space of elliptic curves in projective space, as well as a short and conceptual proof of that result. If time permits, I will discuss applications to some questions in the classical enumerative geometry of surfaces. This is based on joint work with Keli Santos-Parker and Jonathan Wise, building on prior work of Speyer, Smyth, Viscardi, Vakil, and Zinger.