# Katzarkov-Kontsevich-Pantev conjecture for minimal adjoint orbits

## TL;DR

This paper proves that Landau-Ginzburg models for minimal semisimple adjoint orbits fulfill the Katzarkov-Kontsevich-Pantev conjecture regarding new Hodge theoretical invariants.

## Contribution

It establishes the conjecture for a specific class of LG models related to minimal semisimple adjoint orbits, advancing understanding of their Hodge invariants.

## Key findings

- LG models for minimal semisimple adjoint orbits satisfy the conjecture
- Verification of Hodge theoretical invariants in this context
- Progress in understanding the conjecture's scope

## Abstract

We prove that LG models for minimal semisimple adjoint orbits satisfy the Katzarkov-Kontsevich-Pantev conjecture about new Hodge theoretical invariants.