Algebraic Geometry: “Mirror transitions and the BatyrevBorisov construction”
Dr. Karl Fredrickson, UCR
Thursday, February 21, 2013
1:10–2 p.m.
Location: Surge Building 277
Parking Information
Category: Seminar
Description:
The idea of a "transition" between two nonsingular CalabiYau threefolds $X$ and $Y$ involves degenerating $X$ to a singular variety $X_0$, then obtaining $Y$ as a resolution of singularities of $X_0$. David Morrison conjectured that if $X$ and $Y$ are CalabiYau threefolds related by a transition and $X^*$ and $Y^*$ are their mirrors, then $X^*$ and $Y^*$ are also related by a transition, but with the degeneration and resolution switched. In this talk I will discuss some examples that show how the idea of transitions between CalabiYau threefolds is related to BatyrevBorisov mirror symmetry, which is the standard method for constructing mirrors of CalabiYau complete intersections in toric varieties.
Open to: General Public
Admission: Free
Sponsor: Mathematics
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