Zhiyuan Ding

Last Update 2022/08/01
My primary research interest is the Langlands program.
Currently I work on the geometry of moduli stacks of Drinfeld shtukas. I introduced the notion of toy shtukas, and used it to construct certain rational functions (modular units) on the moduli stacks. In this way, we obtain some principal horospherical divisors on the moduli stacks. Now I am trying to extend my construction to more general shtukas, and to study rational equivalences between horocycles of higher codimensions. I hope that my research will be helpful for understanding the noncuspidal part of the cohomology of the moduli stacks of shtukas.
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