Machine learning assisted exploration for affine deligne–lusztig varieties

HIGHLIGHTS

• What: The aim is to investigate the non-emptiness pattern dimension and enumeration of irreducible components of ADLV. The authors demonstrate that this framework has a potential to accelerate pure mathematical research leading to the discovery of new conjectures and promising research directions that could otherwise take significant time to uncover. In this paper, the focus is on ADLV X w (b) in the affine flag variety (associated with the Iwahori level structure). The authors provide the source code for computing geometric invariants of ADLV and machine_learning models to invite interested readers to delve into this problem . . .
  

   

  

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