Gerunds and infinitives are different forms of verbs. A gerund is formed by adding "-ing" to a verb, like "meeting" from "meet". An infinitive is formed by adding "to" before the base form of a verb, like "to meet". Gerunds are used after some verbs, in certain expressions, as subjects of sentences, and after prepositions. Infinitives are used after some verbs and adjectives/adverbs, and after the indirect object of some verbs. Some verbs like "stop", "remember", and "forget" have different meanings depending on whether they are used with a gerund or infinitive.