activity
20072019
most citedLocal models of Shimura varieties, I. Geometry and combinatorics

43 citations · 136 across the 11 of their papers we have counts for

collaborators

12 papers

math.NT2019★ 5 cited

On Shimura varieties for unitary groups

Michael Rapoport, Brian Smithling, Wei Zhang

This is a largely expository article based on our previous work on arithmetic diagonal cycles on unitary Shimura varieties. We define a class of Shimura varieties closely related t…

cs.IT2018★ 15 cited

Blockchained On-Device Federated Learning

Hyesung Kim, Jihong Park, Mehdi Bennis +1

By leveraging blockchain, this letter proposes a blockchained federated learning (BlockFL) architecture where local learning model updates are exchanged and verified. This enables…

math.NT2017★ 13 cited

Arithmetic diagonal cycles on unitary Shimura varieties

Michael Rapoport, Brian Smithling, Wei Zhang

We define variants of PEL type of the Shimura varieties that appear in the context of the Arithmetic Gan-Gross-Prasad conjecture. We formulate for them a version of the AGGP conjec…

math.NT2016★ 2 cited

Regular formal moduli spaces and arithmetic transfer conjectures

Michael Rapoport, Brian Smithling, Wei Zhang

We define various formal moduli spaces of p-divisible groups which are regular, and morphisms between them. We formulate arithmetic transfer conjectures, which are variants of the…

math.NT2015★ 36 cited

On the arithmetic transfer conjecture for exotic smooth formal moduli spaces

Michael Rapoport, Brian Smithling, Wei Zhang

In the relative trace formula approach to the arithmetic Gan-Gross-Prasad conjecture, we formulate a local conjecture (arithmetic transfer) in the case of an exotic smooth formal m…

math.AG2014

On the moduli description of local models for ramified unitary groups

Brian Smithling

Local models are schemes which are intended to model the étale-local structure of p-adic integral models of Shimura varieties. Pappas and Zhu have recently given a general group-th…