Georg C. Hofstätter

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Work in Progress

• A zonal Hadwiger Theorem via Klain's approach
  jointly with L. Brauner and O. Ortega-Moreno
   
• Pushforwards of Intrinsic Volumes
  jointly with T. Wannerer
   
• Affine Quermassintegrals and Even Minkowski Valuations
  jointly with P. Kniefacz and F.E. Schuster

Publications and Preprints

• Equivariant Valuations on Convex Functions [arXiv:2407.08304]
  submitted (2024).
  jointly with J. Knoerr
   
• Busemann-Petty type problems on complex vector spaces [arXiv:2404.05630]
  submitted (2024).
  jointly with S. Ellmeyer
   
• Lefschetz operators on convex valuations [arXiv:2402.14731]
  submitted (2024).
  jointly with L. Brauner and O. Ortega-Moreno
   
• Convex valuations from Whitney to Nash [arXiv:2306.07390]
  submitted (2023).
  jointly with D. Faifman
   
• Complex L_p-Intersection Bodies [arXiv:2304.00794]
  Adv. Math. 431 (2023). Paper No. 109247.
  jointly with S. Ellmeyer
   
• Equivariant Endomorphisms of Convex Functions [arXiv:2207.09758]
  J. Funct. Anal. 285 (2023), no. 1, Paper No. 109922.
  jointly with J. Knoerr
   
• Blaschke-Santaló Inequalities for Minkowski and Asplund Endomorphisms [arXiv:2101.07031]
  Int. Math. Res. Not. IMRN 2023, no. 2.
  jointly with F.E. Schuster
   

Conference Organization

• Mini-Workshop: Modern Valuation Theory 2023, FSU Jena, July 19–21, 2023
  jointly with J. Kotrbatý

Talks

• Convex valuations from Whitney to Nash
  Convex Geometry in Florence 2024, Florence, 06/2024, plenary talk
• Equivariant Valuations of Convex Functions
  INdAM Meeting: Convex geometry -- analytic aspects, Cortona, 06/2023
• Equivariant Valuations of Convex Functions
  Geometric Valuation Theory, Castro Urdiales, 06/2023
• Complex Lp Intersection Bodies
  Asymptotic Geometric Analysis Seminar, Tel Aviv University, Tel Aviv, 03/2023.
• Restrictions of Valuations
  Geometric Analysis Seminar, Goethe University Frankfurt, Frankfurt, 01/2023.
• Pushforwards of Intrinsic Volumes
  Workshop on Integral and Metric Geometry (22w5181), BIRS-CMO, 05/2022.
• Equivariant Endomorphisms of Convex Functions
  Mini-Symposium on Geometric Probability and Valuation Theory, Vienna University of Technology, Vienna, 04/2022.
• GL(n)-Equivariant Endomorphisms of Convex Functions
  Asymptotic Geometric Analysis Seminar, Tel Aviv University, Tel Aviv, 03/2022.
• Asplund Endomorphisms
  DMV-ÖMG-Jahrestagung 2021, University of Passau, 09/2021.
• Asplund Endomorphisms and the Blaschke-Santaló inequality
  Conference on Convex, Integral and Stochastic Geometry 2021, Karlsruhe Institute of Technology, Bad Herrenalb, 09/2021.
• Asplund Endomorphisms and the Blaschke-Santaló inequality
  Current Trends in Convex Geometry 2021, University of Bremen, University of Murcia, 03/2021.
• Blaschke-Santaló inequalities for Minkowski Endomorphisms
  Asymptotic Geometric Analysis IV, Euler International Mathematical Institute, Saint-Petersburg, 07/2019.
• Talk Blaschke-Santaló inequalities for Minkowski Endomorphisms
  2019 Szeged Workshop on Convexity, Bolyai Institute, University of Szeged, Szeged, 04/2019.