Department Seminars & Colloquia
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Stable surfaces are the two-dimensional analogue of stable curves: they are exactly the singular surfaces one needs to compactify the Giesecker moduli space of surfaces of general type (over the complex numbers). I will first give some examples illustrating the general picture both for curves and surfaces. Then I will dive deeper into the technical complications that arise, explain a glueing result of Kollar, that allows to deal with non-normal surface, and illustrate the theory with some applications.
Stable surfaces are the two-dimensional analogue of stable curves: they are exactly the singular surfaces one needs to compactify the Giesecker moduli space of surfaces of general type (over the complex numbers). I will first give some examples illustrating the general picture both for curves and surfaces. Then I will dive deeper into the technical complications that arise, explain a glueing result of Kollar, that allows to deal with non-normal surface, and illustrate the theory with some applications.
Stable surfaces are the two-dimensional analogue of stable curves: they are exactly the singular surfaces one needs to compactify the Giesecker moduli space of surfaces of general type (over the complex numbers). I will first give some examples illustrating the general picture both for curves and surfaces. Then I will dive deeper into the technical complications that arise, explain a glueing result of Kollar, that allows to deal with non-normal surface, and illustrate the theory with some applications.
Each year in the United States, approximately a quarter of a million
people die as the result of a heart attack.
In most of these cases, a coronary occlusion led to the sudden
onset of fibrillation, a condition, which if not arrested, is fatal. In this talk, I will give an introduction to the mathematical modelling of cardiac electrical activity and use these models to give a understanding of fatal cardiac arrhythmias and how they may be initiated.