Zobrazeno 1 - 10
of 599
pro vyhledávání: '"Mundinger, P"'
Autor:
Mundinger, Joshua
The Hochschild-Kostant-Rosenberg theorem implies the existence of a spectral sequence computing the Hochschild homology of a variety in terms of the cohomology of differential forms. When the base field $k$ has characteristic $p>0$, we show that the
Externí odkaz:
http://arxiv.org/abs/2410.01894
Autor:
Kothari, Casimir, Mundinger, Joshua
For all $n \geq 1$, there is a notion of $n$-smooth group scheme over any $\mathbb{F}_p$-algebra $R$, which may be thought of as a ``Frobenius analogue" of $n$-truncated Barsotti-Tate groups over $R$. We show that the category of $n$-smooth commutati
Externí odkaz:
http://arxiv.org/abs/2408.15333
A "tropical ideal" is an ideal in the idempotent semiring of tropical polynomials that is also, degree by degree, a tropical linear space. We introduce a construction based on transversal matroids that canonically extends any principal ideal to a tro
Externí odkaz:
http://arxiv.org/abs/2405.16338
We present two novel six-colorings of the Euclidean plane that avoid monochromatic pairs of points at unit distance in five colors and monochromatic pairs at another specified distance $d$ in the sixth color. Such colorings have previously been known
Externí odkaz:
http://arxiv.org/abs/2404.05509
We introduce Neural Parameter Regression (NPR), a novel framework specifically developed for learning solution operators in Partial Differential Equations (PDEs). Tailored for operator learning, this approach surpasses traditional DeepONets (Lu et al
Externí odkaz:
http://arxiv.org/abs/2403.12764
Autor:
Harman, Nate, Mundinger, Joshua
Motivated by recent work of Peluse and Soundararajan on divisibility properties of the entries of the character tables of symmetric groups, we investigate the question: For a finite group G, when are two columns of the character table of G congruent
Externí odkaz:
http://arxiv.org/abs/2402.02312
Autor:
Mundinger, Joshua
We classify twistings of Grothendieck's differential operators on a smooth variety $X$ in prime characteristic $p$. We prove isomorphism classes of twistings are in bijection with $H^2(X,\mathbb{Z}_p(1))$, the degree 2, weight 1 syntomic cohomology o
Externí odkaz:
http://arxiv.org/abs/2310.06029
Autor:
Andrew D. Dodson, Adam J. Herbertson, Mackenzie K. Honeycutt, Ron Vered, Jared D. Slattery, Matvey Goldberg, Edison Tsui, Tami Wolden-Hanson, James L. Graham, Tomasz A. Wietecha, Kevin D. O’Brien, Peter J. Havel, Carl L. Sikkema, Elaine R. Peskind, Thomas O. Mundinger, Gerald J. Taborsky, James E. Blevins
Publikováno v:
Current Issues in Molecular Biology, Vol 46, Iss 10, Pp 11394-11424 (2024)
Recent studies have indicated that hindbrain [fourth ventricle (4V)] administration of the neurohypophyseal hormone, oxytocin (OT), reduces body weight, energy intake and stimulates interscapular brown adipose tissue temperature (TIBAT) in male diet-
Externí odkaz:
https://doaj.org/article/104c3ef97e65440f80aa26edef60cf9b
Autor:
Alexander Mundinger, Carolin Mundinger
Publikováno v:
European Journal of Breast Health, Vol 20, Iss 2, Pp 73-80 (2024)
Artificial Intelligence (AI) is defined as the simulation of human intelligence by a digital computer or robotic system and has become a hype in current conversations. A subcategory of AI is deep learning, which is based on complex artificial neural
Externí odkaz:
https://doaj.org/article/20d07e7cb5974f3fb1a8e254a1127f3b
Autor:
Mundinger, Joshua
Publikováno v:
Journal of Algebra 650, 2024, pp. 367-376
For $k$ a field of positive characteristic and $X$ a smooth variety over $k$, we compute the Hochschild cohomology of Grothendieck's differential operators on $X$. The answer involves the derived inverse limit of the Frobenius acting on the cohomolog
Externí odkaz:
http://arxiv.org/abs/2303.07373